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Finding the Fourth Proportional to 55,470.76, 76,540.80 and 31,597.92

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Solution

The fourth proportional to 55,470.76, 76,540.80 and 31,597.92 is: 43,600.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,470.76 : 76,540.80 = 31,597.92 : x
  2. Step 2: Convert to fraction form
    55,470.76/76,540.80 = 31,597.92/x
  3. Step 3: Cross multiply
    55,470.76x = 76,540.80 × 31,597.92
  4. Step 4: Simplify right side
    55,470.76x = 2,418,530,075.14
  5. Step 5: Solve for x
    x = 2,418,530,075.14/55,470.76
  6. Step 6: Final answer
    x = 43,600.09

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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.