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Finding the Fourth Proportional to 97,808.10, 146,712.15 and 38,613.30

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Solution

The fourth proportional to 97,808.10, 146,712.15 and 38,613.30 is: 57,919.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,808.10 : 146,712.15 = 38,613.30 : x
  2. Step 2: Convert to fraction form
    97,808.10/146,712.15 = 38,613.30/x
  3. Step 3: Cross multiply
    97,808.10x = 146,712.15 × 38,613.30
  4. Step 4: Simplify right side
    97,808.10x = 5,665,040,261.60
  5. Step 5: Solve for x
    x = 5,665,040,261.60/97,808.10
  6. Step 6: Final answer
    x = 57,919.95

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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.