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Finding the Fourth Proportional to 57,733.70, 86,612.70 and 32,753.30

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Solution

The fourth proportional to 57,733.70, 86,612.70 and 32,753.30 is: 49,136.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,733.70 : 86,612.70 = 32,753.30 : x
  2. Step 2: Convert to fraction form
    57,733.70/86,612.70 = 32,753.30/x
  3. Step 3: Cross multiply
    57,733.70x = 86,612.70 × 32,753.30
  4. Step 4: Simplify right side
    57,733.70x = 2,836,851,746.91
  5. Step 5: Solve for x
    x = 2,836,851,746.91/57,733.70
  6. Step 6: Final answer
    x = 49,136.84

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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.