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Finding the Fourth Proportional to 47,642.11, 65,743.86 and 26,420.92

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Solution

The fourth proportional to 47,642.11, 65,743.86 and 26,420.92 is: 36,459.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,642.11 : 65,743.86 = 26,420.92 : x
  2. Step 2: Convert to fraction form
    47,642.11/65,743.86 = 26,420.92/x
  3. Step 3: Cross multiply
    47,642.11x = 65,743.86 × 26,420.92
  4. Step 4: Simplify right side
    47,642.11x = 1,737,013,265.55
  5. Step 5: Solve for x
    x = 1,737,013,265.55/47,642.11
  6. Step 6: Final answer
    x = 36,459.62

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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.