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Finding the Fourth Proportional to 65,654.38, 90,601.81 and 40,158.87

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Solution

The fourth proportional to 65,654.38, 90,601.81 and 40,158.87 is: 55,418.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,654.38 : 90,601.81 = 40,158.87 : x
  2. Step 2: Convert to fraction form
    65,654.38/90,601.81 = 40,158.87/x
  3. Step 3: Cross multiply
    65,654.38x = 90,601.81 × 40,158.87
  4. Step 4: Simplify right side
    65,654.38x = 3,638,466,379.04
  5. Step 5: Solve for x
    x = 3,638,466,379.04/65,654.38
  6. Step 6: Final answer
    x = 55,418.49

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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.