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Finding the Fourth Proportional to 97,487.67, 146,239.71 and 34,301.14

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Solution

The fourth proportional to 97,487.67, 146,239.71 and 34,301.14 is: 51,454.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,487.67 : 146,239.71 = 34,301.14 : x
  2. Step 2: Convert to fraction form
    97,487.67/146,239.71 = 34,301.14/x
  3. Step 3: Cross multiply
    97,487.67x = 146,239.71 × 34,301.14
  4. Step 4: Simplify right side
    97,487.67x = 5,016,188,766.27
  5. Step 5: Solve for x
    x = 5,016,188,766.27/97,487.67
  6. Step 6: Final answer
    x = 51,454.60

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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.