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Finding the Fourth Proportional to 32,097.47, 48,154.10 and 12,377.41

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Solution

The fourth proportional to 32,097.47, 48,154.10 and 12,377.41 is: 18,569.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,097.47 : 48,154.10 = 12,377.41 : x
  2. Step 2: Convert to fraction form
    32,097.47/48,154.10 = 12,377.41/x
  3. Step 3: Cross multiply
    32,097.47x = 48,154.10 × 12,377.41
  4. Step 4: Simplify right side
    32,097.47x = 596,022,856.61
  5. Step 5: Solve for x
    x = 596,022,856.61/32,097.47
  6. Step 6: Final answer
    x = 18,569.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.