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Finding the Fourth Proportional to 55,784.19, 83,676.28 and 14,231.19

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Solution

The fourth proportional to 55,784.19, 83,676.28 and 14,231.19 is: 21,346.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,784.19 : 83,676.28 = 14,231.19 : x
  2. Step 2: Convert to fraction form
    55,784.19/83,676.28 = 14,231.19/x
  3. Step 3: Cross multiply
    55,784.19x = 83,676.28 × 14,231.19
  4. Step 4: Simplify right side
    55,784.19x = 1,190,813,039.17
  5. Step 5: Solve for x
    x = 1,190,813,039.17/55,784.19
  6. Step 6: Final answer
    x = 21,346.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.