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Finding the Fourth Proportional to 71,757, 107,652.78 and 22,509

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Solution

The fourth proportional to 71,757, 107,652.78 and 22,509 is: 33,768.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,757 : 107,652.78 = 22,509 : x
  2. Step 2: Convert to fraction form
    71,757/107,652.78 = 22,509/x
  3. Step 3: Cross multiply
    71,757x = 107,652.78 × 22,509
  4. Step 4: Simplify right side
    71,757x = 2,423,156,425.02
  5. Step 5: Solve for x
    x = 2,423,156,425.02/71,757
  6. Step 6: Final answer
    x = 33,768.92

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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.