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Finding the Fourth Proportional to 38,014.72, 57,024.96 and 10,312

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Solution

The fourth proportional to 38,014.72, 57,024.96 and 10,312 is: 15,468.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,014.72 : 57,024.96 = 10,312 : x
  2. Step 2: Convert to fraction form
    38,014.72/57,024.96 = 10,312/x
  3. Step 3: Cross multiply
    38,014.72x = 57,024.96 × 10,312
  4. Step 4: Simplify right side
    38,014.72x = 588,041,387.52
  5. Step 5: Solve for x
    x = 588,041,387.52/38,014.72
  6. Step 6: Final answer
    x = 15,468.78

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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.