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Finding the Fourth Proportional to 49,983,773.22, 68,983,996.68 and 27,958,496.22

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Solution

The fourth proportional to 49,983,773.22, 68,983,996.68 and 27,958,496.22 is: 38,586,298.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,983,773.22 : 68,983,996.68 = 27,958,496.22 : x
  2. Step 2: Convert to fraction form
    49,983,773.22/68,983,996.68 = 27,958,496.22/x
  3. Step 3: Cross multiply
    49,983,773.22x = 68,983,996.68 × 27,958,496.22
  4. Step 4: Simplify right side
    49,983,773.22x = 1,928,688,810,418,272.75
  5. Step 5: Solve for x
    x = 1,928,688,810,418,272.75/49,983,773.22
  6. Step 6: Final answer
    x = 38,586,298.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.