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Finding the Fourth Proportional to 82,275.68, 113,540.52 and 44,549.84

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Solution

The fourth proportional to 82,275.68, 113,540.52 and 44,549.84 is: 61,478.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,275.68 : 113,540.52 = 44,549.84 : x
  2. Step 2: Convert to fraction form
    82,275.68/113,540.52 = 44,549.84/x
  3. Step 3: Cross multiply
    82,275.68x = 113,540.52 × 44,549.84
  4. Step 4: Simplify right side
    82,275.68x = 5,058,211,999.52
  5. Step 5: Solve for x
    x = 5,058,211,999.52/82,275.68
  6. Step 6: Final answer
    x = 61,478.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.