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Finding the Fourth Proportional to 97,432.83, 146,132.78 and 27,296.01

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Solution

The fourth proportional to 97,432.83, 146,132.78 and 27,296.01 is: 40,939.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,432.83 : 146,132.78 = 27,296.01 : x
  2. Step 2: Convert to fraction form
    97,432.83/146,132.78 = 27,296.01/x
  3. Step 3: Cross multiply
    97,432.83x = 146,132.78 × 27,296.01
  4. Step 4: Simplify right side
    97,432.83x = 3,988,841,687.73
  5. Step 5: Solve for x
    x = 3,988,841,687.73/97,432.83
  6. Step 6: Final answer
    x = 40,939.40

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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.