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Finding the Fourth Proportional to 55,758.84, 76,947.48 and 31,886.52

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Solution

The fourth proportional to 55,758.84, 76,947.48 and 31,886.52 is: 44,003.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,758.84 : 76,947.48 = 31,886.52 : x
  2. Step 2: Convert to fraction form
    55,758.84/76,947.48 = 31,886.52/x
  3. Step 3: Cross multiply
    55,758.84x = 76,947.48 × 31,886.52
  4. Step 4: Simplify right side
    55,758.84x = 2,453,587,359.97
  5. Step 5: Solve for x
    x = 2,453,587,359.97/55,758.84
  6. Step 6: Final answer
    x = 44,003.56

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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.