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Finding the Fourth Proportional to 71,720, 107,597.28 and 22,472

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Solution

The fourth proportional to 71,720, 107,597.28 and 22,472 is: 33,713.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,720 : 107,597.28 = 22,472 : x
  2. Step 2: Convert to fraction form
    71,720/107,597.28 = 22,472/x
  3. Step 3: Cross multiply
    71,720x = 107,597.28 × 22,472
  4. Step 4: Simplify right side
    71,720x = 2,417,926,076.16
  5. Step 5: Solve for x
    x = 2,417,926,076.16/71,720
  6. Step 6: Final answer
    x = 33,713.41

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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.