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Finding the Fourth Proportional to 30,530.92, 42,132.17 and 17,102.13

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Solution

The fourth proportional to 30,530.92, 42,132.17 and 17,102.13 is: 23,600.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,530.92 : 42,132.17 = 17,102.13 : x
  2. Step 2: Convert to fraction form
    30,530.92/42,132.17 = 17,102.13/x
  3. Step 3: Cross multiply
    30,530.92x = 42,132.17 × 17,102.13
  4. Step 4: Simplify right side
    30,530.92x = 720,549,891.28
  5. Step 5: Solve for x
    x = 720,549,891.28/30,530.92
  6. Step 6: Final answer
    x = 23,600.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.