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Finding the Fourth Proportional to 32,614.92, 48,908.70 and 10,422.36

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Solution

The fourth proportional to 32,614.92, 48,908.70 and 10,422.36 is: 15,629.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,614.92 : 48,908.70 = 10,422.36 : x
  2. Step 2: Convert to fraction form
    32,614.92/48,908.70 = 10,422.36/x
  3. Step 3: Cross multiply
    32,614.92x = 48,908.70 × 10,422.36
  4. Step 4: Simplify right side
    32,614.92x = 509,744,078.53
  5. Step 5: Solve for x
    x = 509,744,078.53/32,614.92
  6. Step 6: Final answer
    x = 15,629.17

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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.