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Finding the Fourth Proportional to 83,502.50, 125,222.69 and 36,124.45

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Solution

The fourth proportional to 83,502.50, 125,222.69 and 36,124.45 is: 54,173.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,502.50 : 125,222.69 = 36,124.45 : x
  2. Step 2: Convert to fraction form
    83,502.50/125,222.69 = 36,124.45/x
  3. Step 3: Cross multiply
    83,502.50x = 125,222.69 × 36,124.45
  4. Step 4: Simplify right side
    83,502.50x = 4,523,600,581.02
  5. Step 5: Solve for x
    x = 4,523,600,581.02/83,502.50
  6. Step 6: Final answer
    x = 54,173.24

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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.