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Finding the Fourth Proportional to 47,871.90, 71,807.88 and 22,906.08

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Solution

The fourth proportional to 47,871.90, 71,807.88 and 22,906.08 is: 34,359.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,871.90 : 71,807.88 = 22,906.08 : x
  2. Step 2: Convert to fraction form
    47,871.90/71,807.88 = 22,906.08/x
  3. Step 3: Cross multiply
    47,871.90x = 71,807.88 × 22,906.08
  4. Step 4: Simplify right side
    47,871.90x = 1,644,837,043.91
  5. Step 5: Solve for x
    x = 1,644,837,043.91/47,871.90
  6. Step 6: Final answer
    x = 34,359.13

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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.