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Finding the Fourth Proportional to 70,105.46, 96,745.86 and 38,275.08

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Solution

The fourth proportional to 70,105.46, 96,745.86 and 38,275.08 is: 52,819.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,105.46 : 96,745.86 = 38,275.08 : x
  2. Step 2: Convert to fraction form
    70,105.46/96,745.86 = 38,275.08/x
  3. Step 3: Cross multiply
    70,105.46x = 96,745.86 × 38,275.08
  4. Step 4: Simplify right side
    70,105.46x = 3,702,955,531.17
  5. Step 5: Solve for x
    x = 3,702,955,531.17/70,105.46
  6. Step 6: Final answer
    x = 52,819.79

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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.