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Finding the Fourth Proportional to 34,143.60, 47,101.42 and 22,815.88

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Solution

The fourth proportional to 34,143.60, 47,101.42 and 22,815.88 is: 31,474.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,143.60 : 47,101.42 = 22,815.88 : x
  2. Step 2: Convert to fraction form
    34,143.60/47,101.42 = 22,815.88/x
  3. Step 3: Cross multiply
    34,143.60x = 47,101.42 × 22,815.88
  4. Step 4: Simplify right side
    34,143.60x = 1,074,660,228.80
  5. Step 5: Solve for x
    x = 1,074,660,228.80/34,143.60
  6. Step 6: Final answer
    x = 31,474.72

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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.