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Finding the Fourth Proportional to 47,807.30, 71,733.48 and 22,854.95

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Solution

The fourth proportional to 47,807.30, 71,733.48 and 22,854.95 is: 34,293.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,807.30 : 71,733.48 = 22,854.95 : x
  2. Step 2: Convert to fraction form
    47,807.30/71,733.48 = 22,854.95/x
  3. Step 3: Cross multiply
    47,807.30x = 71,733.48 × 22,854.95
  4. Step 4: Simplify right side
    47,807.30x = 1,639,465,098.73
  5. Step 5: Solve for x
    x = 1,639,465,098.73/47,807.30
  6. Step 6: Final answer
    x = 34,293.20

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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.