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Finding the Fourth Proportional to 99,642, 137,499.06 and 56,041.08

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Solution

The fourth proportional to 99,642, 137,499.06 and 56,041.08 is: 77,332.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,642 : 137,499.06 = 56,041.08 : x
  2. Step 2: Convert to fraction form
    99,642/137,499.06 = 56,041.08/x
  3. Step 3: Cross multiply
    99,642x = 137,499.06 × 56,041.08
  4. Step 4: Simplify right side
    99,642x = 7,705,595,821.38
  5. Step 5: Solve for x
    x = 7,705,595,821.38/99,642
  6. Step 6: Final answer
    x = 77,332.81

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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.