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Finding the Fourth Proportional to 81,714.89, 112,746.66 and 47,704

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Solution

The fourth proportional to 81,714.89, 112,746.66 and 47,704 is: 65,819.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,714.89 : 112,746.66 = 47,704 : x
  2. Step 2: Convert to fraction form
    81,714.89/112,746.66 = 47,704/x
  3. Step 3: Cross multiply
    81,714.89x = 112,746.66 × 47,704
  4. Step 4: Simplify right side
    81,714.89x = 5,378,466,668.64
  5. Step 5: Solve for x
    x = 5,378,466,668.64/81,714.89
  6. Step 6: Final answer
    x = 65,819.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.