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Finding the Fourth Proportional to 40,231.84, 60,353.52 and 12,532

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Solution

The fourth proportional to 40,231.84, 60,353.52 and 12,532 is: 18,799.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,231.84 : 60,353.52 = 12,532 : x
  2. Step 2: Convert to fraction form
    40,231.84/60,353.52 = 12,532/x
  3. Step 3: Cross multiply
    40,231.84x = 60,353.52 × 12,532
  4. Step 4: Simplify right side
    40,231.84x = 756,350,312.64
  5. Step 5: Solve for x
    x = 756,350,312.64/40,231.84
  6. Step 6: Final answer
    x = 18,799.79

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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.