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Finding the Fourth Proportional to 38,402.25, 57,613.10 and 10,700.25

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Solution

The fourth proportional to 38,402.25, 57,613.10 and 10,700.25 is: 16,053.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,402.25 : 57,613.10 = 10,700.25 : x
  2. Step 2: Convert to fraction form
    38,402.25/57,613.10 = 10,700.25/x
  3. Step 3: Cross multiply
    38,402.25x = 57,613.10 × 10,700.25
  4. Step 4: Simplify right side
    38,402.25x = 616,474,519.77
  5. Step 5: Solve for x
    x = 616,474,519.77/38,402.25
  6. Step 6: Final answer
    x = 16,053.08

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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.