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Finding the Fourth Proportional to 32,142.52, 48,206.49 and 11,366.02

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Solution

The fourth proportional to 32,142.52, 48,206.49 and 11,366.02 is: 17,046.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,142.52 : 48,206.49 = 11,366.02 : x
  2. Step 2: Convert to fraction form
    32,142.52/48,206.49 = 11,366.02/x
  3. Step 3: Cross multiply
    32,142.52x = 48,206.49 × 11,366.02
  4. Step 4: Simplify right side
    32,142.52x = 547,915,929.47
  5. Step 5: Solve for x
    x = 547,915,929.47/32,142.52
  6. Step 6: Final answer
    x = 17,046.45

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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.