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Finding the Fourth Proportional to 84,258.58, 126,411.49 and 36,877.80

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Solution

The fourth proportional to 84,258.58, 126,411.49 and 36,877.80 is: 55,327.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,258.58 : 126,411.49 = 36,877.80 : x
  2. Step 2: Convert to fraction form
    84,258.58/126,411.49 = 36,877.80/x
  3. Step 3: Cross multiply
    84,258.58x = 126,411.49 × 36,877.80
  4. Step 4: Simplify right side
    84,258.58x = 4,661,777,645.92
  5. Step 5: Solve for x
    x = 4,661,777,645.92/84,258.58
  6. Step 6: Final answer
    x = 55,327.04

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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.