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Finding the Fourth Proportional to 71,532.16, 107,298.24 and 22,288

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Solution

The fourth proportional to 71,532.16, 107,298.24 and 22,288 is: 33,432

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,532.16 : 107,298.24 = 22,288 : x
  2. Step 2: Convert to fraction form
    71,532.16/107,298.24 = 22,288/x
  3. Step 3: Cross multiply
    71,532.16x = 107,298.24 × 22,288
  4. Step 4: Simplify right side
    71,532.16x = 2,391,463,173.12
  5. Step 5: Solve for x
    x = 2,391,463,173.12/71,532.16
  6. Step 6: Final answer
    x = 33,432

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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.