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Finding the Fourth Proportional to 32,376.78, 48,543.30 and 16,542.90

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Solution

The fourth proportional to 32,376.78, 48,543.30 and 16,542.90 is: 24,803.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,376.78 : 48,543.30 = 16,542.90 : x
  2. Step 2: Convert to fraction form
    32,376.78/48,543.30 = 16,542.90/x
  3. Step 3: Cross multiply
    32,376.78x = 48,543.30 × 16,542.90
  4. Step 4: Simplify right side
    32,376.78x = 803,046,957.57
  5. Step 5: Solve for x
    x = 803,046,957.57/32,376.78
  6. Step 6: Final answer
    x = 24,803.18

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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.