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Finding the Fourth Proportional to 47,291.38, 65,254.89 and 28,165.30

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Solution

The fourth proportional to 47,291.38, 65,254.89 and 28,165.30 is: 38,863.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,291.38 : 65,254.89 = 28,165.30 : x
  2. Step 2: Convert to fraction form
    47,291.38/65,254.89 = 28,165.30/x
  3. Step 3: Cross multiply
    47,291.38x = 65,254.89 × 28,165.30
  4. Step 4: Simplify right side
    47,291.38x = 1,837,923,553.32
  5. Step 5: Solve for x
    x = 1,837,923,553.32/47,291.38
  6. Step 6: Final answer
    x = 38,863.82

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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.