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Finding the Fourth Proportional to 32,474.41, 48,672.43 and 15,809.47

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Solution

The fourth proportional to 32,474.41, 48,672.43 and 15,809.47 is: 23,695.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,474.41 : 48,672.43 = 15,809.47 : x
  2. Step 2: Convert to fraction form
    32,474.41/48,672.43 = 15,809.47/x
  3. Step 3: Cross multiply
    32,474.41x = 48,672.43 × 15,809.47
  4. Step 4: Simplify right side
    32,474.41x = 769,485,160.71
  5. Step 5: Solve for x
    x = 769,485,160.71/32,474.41
  6. Step 6: Final answer
    x = 23,695.13

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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.