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Finding the Fourth Proportional to 71,793, 107,706.94 and 22,545

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Solution

The fourth proportional to 71,793, 107,706.94 and 22,545 is: 33,822.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,793 : 107,706.94 = 22,545 : x
  2. Step 2: Convert to fraction form
    71,793/107,706.94 = 22,545/x
  3. Step 3: Cross multiply
    71,793x = 107,706.94 × 22,545
  4. Step 4: Simplify right side
    71,793x = 2,428,252,962.30
  5. Step 5: Solve for x
    x = 2,428,252,962.30/71,793
  6. Step 6: Final answer
    x = 33,822.98

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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.