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Finding the Fourth Proportional to 38,083.52, 57,124.68 and 10,381.52

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Solution

The fourth proportional to 38,083.52, 57,124.68 and 10,381.52 is: 15,572.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,083.52 : 57,124.68 = 10,381.52 : x
  2. Step 2: Convert to fraction form
    38,083.52/57,124.68 = 10,381.52/x
  3. Step 3: Cross multiply
    38,083.52x = 57,124.68 × 10,381.52
  4. Step 4: Simplify right side
    38,083.52x = 593,041,111.79
  5. Step 5: Solve for x
    x = 593,041,111.79/38,083.52
  6. Step 6: Final answer
    x = 15,572.12

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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.