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Finding the Fourth Proportional to 56,125.32, 77,452.38 and 32,259.48

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Solution

The fourth proportional to 56,125.32, 77,452.38 and 32,259.48 is: 44,517.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,125.32 : 77,452.38 = 32,259.48 : x
  2. Step 2: Convert to fraction form
    56,125.32/77,452.38 = 32,259.48/x
  3. Step 3: Cross multiply
    56,125.32x = 77,452.38 × 32,259.48
  4. Step 4: Simplify right side
    56,125.32x = 2,498,573,503.56
  5. Step 5: Solve for x
    x = 2,498,573,503.56/56,125.32
  6. Step 6: Final answer
    x = 44,517.76

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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.