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Finding the Fourth Proportional to 39,407.49, 59,102.10 and 13,105.17

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Solution

The fourth proportional to 39,407.49, 59,102.10 and 13,105.17 is: 19,654.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,407.49 : 59,102.10 = 13,105.17 : x
  2. Step 2: Convert to fraction form
    39,407.49/59,102.10 = 13,105.17/x
  3. Step 3: Cross multiply
    39,407.49x = 59,102.10 × 13,105.17
  4. Step 4: Simplify right side
    39,407.49x = 774,543,067.86
  5. Step 5: Solve for x
    x = 774,543,067.86/39,407.49
  6. Step 6: Final answer
    x = 19,654.72

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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.