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Finding the Fourth Proportional to 83,655.76, 125,496.24 and 24,484

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Solution

The fourth proportional to 83,655.76, 125,496.24 and 24,484 is: 36,729.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,655.76 : 125,496.24 = 24,484 : x
  2. Step 2: Convert to fraction form
    83,655.76/125,496.24 = 24,484/x
  3. Step 3: Cross multiply
    83,655.76x = 125,496.24 × 24,484
  4. Step 4: Simplify right side
    83,655.76x = 3,072,649,940.16
  5. Step 5: Solve for x
    x = 3,072,649,940.16/83,655.76
  6. Step 6: Final answer
    x = 36,729.69

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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.