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Finding the Fourth Proportional to 82,454.76, 113,787.90 and 44,729.28

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Solution

The fourth proportional to 82,454.76, 113,787.90 and 44,729.28 is: 61,726.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,454.76 : 113,787.90 = 44,729.28 : x
  2. Step 2: Convert to fraction form
    82,454.76/113,787.90 = 44,729.28/x
  3. Step 3: Cross multiply
    82,454.76x = 113,787.90 × 44,729.28
  4. Step 4: Simplify right side
    82,454.76x = 5,089,650,839.71
  5. Step 5: Solve for x
    x = 5,089,650,839.71/82,454.76
  6. Step 6: Final answer
    x = 61,726.59

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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.