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Finding the Fourth Proportional to 83,703.66, 125,552.85 and 20,523.96

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Solution

The fourth proportional to 83,703.66, 125,552.85 and 20,523.96 is: 30,785.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,703.66 : 125,552.85 = 20,523.96 : x
  2. Step 2: Convert to fraction form
    83,703.66/125,552.85 = 20,523.96/x
  3. Step 3: Cross multiply
    83,703.66x = 125,552.85 × 20,523.96
  4. Step 4: Simplify right side
    83,703.66x = 2,576,841,671.29
  5. Step 5: Solve for x
    x = 2,576,841,671.29/83,703.66
  6. Step 6: Final answer
    x = 30,785.29

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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.