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Finding the Fourth Proportional to 83,129.34, 114,714.18 and 47,319.24

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Solution

The fourth proportional to 83,129.34, 114,714.18 and 47,319.24 is: 65,298.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,129.34 : 114,714.18 = 47,319.24 : x
  2. Step 2: Convert to fraction form
    83,129.34/114,714.18 = 47,319.24/x
  3. Step 3: Cross multiply
    83,129.34x = 114,714.18 × 47,319.24
  4. Step 4: Simplify right side
    83,129.34x = 5,428,187,814.82
  5. Step 5: Solve for x
    x = 5,428,187,814.82/83,129.34
  6. Step 6: Final answer
    x = 65,298.10

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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.