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Finding the Fourth Proportional to 65,079.46, 97,592.15 and 31,789.86

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Solution

The fourth proportional to 65,079.46, 97,592.15 and 31,789.86 is: 47,671.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,079.46 : 97,592.15 = 31,789.86 : x
  2. Step 2: Convert to fraction form
    65,079.46/97,592.15 = 31,789.86/x
  3. Step 3: Cross multiply
    65,079.46x = 97,592.15 × 31,789.86
  4. Step 4: Simplify right side
    65,079.46x = 3,102,440,785.60
  5. Step 5: Solve for x
    x = 3,102,440,785.60/65,079.46
  6. Step 6: Final answer
    x = 47,671.58

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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.