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Finding the Fourth Proportional to 70,414.50, 97,172.01 and 38,584.61

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Solution

The fourth proportional to 70,414.50, 97,172.01 and 38,584.61 is: 53,246.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,414.50 : 97,172.01 = 38,584.61 : x
  2. Step 2: Convert to fraction form
    70,414.50/97,172.01 = 38,584.61/x
  3. Step 3: Cross multiply
    70,414.50x = 97,172.01 × 38,584.61
  4. Step 4: Simplify right side
    70,414.50x = 3,749,344,108.77
  5. Step 5: Solve for x
    x = 3,749,344,108.77/70,414.50
  6. Step 6: Final answer
    x = 53,246.76

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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.