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Finding the Fourth Proportional to 40,867.68, 56,395.80 and 24,978.72

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Solution

The fourth proportional to 40,867.68, 56,395.80 and 24,978.72 is: 34,469.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,867.68 : 56,395.80 = 24,978.72 : x
  2. Step 2: Convert to fraction form
    40,867.68/56,395.80 = 24,978.72/x
  3. Step 3: Cross multiply
    40,867.68x = 56,395.80 × 24,978.72
  4. Step 4: Simplify right side
    40,867.68x = 1,408,694,897.38
  5. Step 5: Solve for x
    x = 1,408,694,897.38/40,867.68
  6. Step 6: Final answer
    x = 34,469.66

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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.