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Finding the Fourth Proportional to 70,647.92, 97,494.12 and 38,815.76

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Solution

The fourth proportional to 70,647.92, 97,494.12 and 38,815.76 is: 53,565.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,647.92 : 97,494.12 = 38,815.76 : x
  2. Step 2: Convert to fraction form
    70,647.92/97,494.12 = 38,815.76/x
  3. Step 3: Cross multiply
    70,647.92x = 97,494.12 × 38,815.76
  4. Step 4: Simplify right side
    70,647.92x = 3,784,308,363.33
  5. Step 5: Solve for x
    x = 3,784,308,363.33/70,647.92
  6. Step 6: Final answer
    x = 53,565.74

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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.