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Finding the Fourth Proportional to 32,677.92, 49,018.32 and 10,489.60

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Solution

The fourth proportional to 32,677.92, 49,018.32 and 10,489.60 is: 15,734.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,677.92 : 49,018.32 = 10,489.60 : x
  2. Step 2: Convert to fraction form
    32,677.92/49,018.32 = 10,489.60/x
  3. Step 3: Cross multiply
    32,677.92x = 49,018.32 × 10,489.60
  4. Step 4: Simplify right side
    32,677.92x = 514,182,569.47
  5. Step 5: Solve for x
    x = 514,182,569.47/32,677.92
  6. Step 6: Final answer
    x = 15,734.86

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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.