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Finding the Fourth Proportional to 82,714.60, 124,104.30 and 32,786.20

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Solution

The fourth proportional to 82,714.60, 124,104.30 and 32,786.20 is: 49,192.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,714.60 : 124,104.30 = 32,786.20 : x
  2. Step 2: Convert to fraction form
    82,714.60/124,104.30 = 32,786.20/x
  3. Step 3: Cross multiply
    82,714.60x = 124,104.30 × 32,786.20
  4. Step 4: Simplify right side
    82,714.60x = 4,068,908,400.66
  5. Step 5: Solve for x
    x = 4,068,908,400.66/82,714.60
  6. Step 6: Final answer
    x = 49,192.14

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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.