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Finding the Fourth Proportional to 83,188.32, 124,768.81 and 29,869.26

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Solution

The fourth proportional to 83,188.32, 124,768.81 and 29,869.26 is: 44,798.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,188.32 : 124,768.81 = 29,869.26 : x
  2. Step 2: Convert to fraction form
    83,188.32/124,768.81 = 29,869.26/x
  3. Step 3: Cross multiply
    83,188.32x = 124,768.81 × 29,869.26
  4. Step 4: Simplify right side
    83,188.32x = 3,726,751,876.43
  5. Step 5: Solve for x
    x = 3,726,751,876.43/83,188.32
  6. Step 6: Final answer
    x = 44,798.98

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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.