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Finding the Fourth Proportional to 71,745, 107,634.79 and 22,497

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Solution

The fourth proportional to 71,745, 107,634.79 and 22,497 is: 33,750.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,745 : 107,634.79 = 22,497 : x
  2. Step 2: Convert to fraction form
    71,745/107,634.79 = 22,497/x
  3. Step 3: Cross multiply
    71,745x = 107,634.79 × 22,497
  4. Step 4: Simplify right side
    71,745x = 2,421,459,870.63
  5. Step 5: Solve for x
    x = 2,421,459,870.63/71,745
  6. Step 6: Final answer
    x = 33,750.92

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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.