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Finding the Fourth Proportional to 69,785.80, 96,302.46 and 37,956.04

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Solution

The fourth proportional to 69,785.80, 96,302.46 and 37,956.04 is: 52,378.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,785.80 : 96,302.46 = 37,956.04 : x
  2. Step 2: Convert to fraction form
    69,785.80/96,302.46 = 37,956.04/x
  3. Step 3: Cross multiply
    69,785.80x = 96,302.46 × 37,956.04
  4. Step 4: Simplify right side
    69,785.80x = 3,655,260,023.86
  5. Step 5: Solve for x
    x = 3,655,260,023.86/69,785.80
  6. Step 6: Final answer
    x = 52,378.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.