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Finding the Fourth Proportional to 32,124.78, 48,159.43 and 15,461.88

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Solution

The fourth proportional to 32,124.78, 48,159.43 and 15,461.88 is: 23,179.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,124.78 : 48,159.43 = 15,461.88 : x
  2. Step 2: Convert to fraction form
    32,124.78/48,159.43 = 15,461.88/x
  3. Step 3: Cross multiply
    32,124.78x = 48,159.43 × 15,461.88
  4. Step 4: Simplify right side
    32,124.78x = 744,635,327.53
  5. Step 5: Solve for x
    x = 744,635,327.53/32,124.78
  6. Step 6: Final answer
    x = 23,179.47

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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.