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Finding the Fourth Proportional to 70,793.38, 97,686.16 and 42,113.71

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Solution

The fourth proportional to 70,793.38, 97,686.16 and 42,113.71 is: 58,111.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,793.38 : 97,686.16 = 42,113.71 : x
  2. Step 2: Convert to fraction form
    70,793.38/97,686.16 = 42,113.71/x
  3. Step 3: Cross multiply
    70,793.38x = 97,686.16 × 42,113.71
  4. Step 4: Simplify right side
    70,793.38x = 4,113,926,613.25
  5. Step 5: Solve for x
    x = 4,113,926,613.25/70,793.38
  6. Step 6: Final answer
    x = 58,111.74

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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.