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Finding the Fourth Proportional to 102,714.60, 154,098.90 and 32,593.80

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Solution

The fourth proportional to 102,714.60, 154,098.90 and 32,593.80 is: 48,899.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,714.60 : 154,098.90 = 32,593.80 : x
  2. Step 2: Convert to fraction form
    102,714.60/154,098.90 = 32,593.80/x
  3. Step 3: Cross multiply
    102,714.60x = 154,098.90 × 32,593.80
  4. Step 4: Simplify right side
    102,714.60x = 5,022,668,726.82
  5. Step 5: Solve for x
    x = 5,022,668,726.82/102,714.60
  6. Step 6: Final answer
    x = 48,899.27

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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.