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Finding the Fourth Proportional to 83,471.86, 125,208 and 24,308.98

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Solution

The fourth proportional to 83,471.86, 125,208 and 24,308.98 is: 36,463.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,471.86 : 125,208 = 24,308.98 : x
  2. Step 2: Convert to fraction form
    83,471.86/125,208 = 24,308.98/x
  3. Step 3: Cross multiply
    83,471.86x = 125,208 × 24,308.98
  4. Step 4: Simplify right side
    83,471.86x = 3,043,678,767.84
  5. Step 5: Solve for x
    x = 3,043,678,767.84/83,471.86
  6. Step 6: Final answer
    x = 36,463.53

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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.