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Finding the Fourth Proportional to 38,038.68, 57,064.16 and 15,854.29

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Solution

The fourth proportional to 38,038.68, 57,064.16 and 15,854.29 is: 23,783.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,038.68 : 57,064.16 = 15,854.29 : x
  2. Step 2: Convert to fraction form
    38,038.68/57,064.16 = 15,854.29/x
  3. Step 3: Cross multiply
    38,038.68x = 57,064.16 × 15,854.29
  4. Step 4: Simplify right side
    38,038.68x = 904,711,638.22
  5. Step 5: Solve for x
    x = 904,711,638.22/38,038.68
  6. Step 6: Final answer
    x = 23,783.99

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