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Finding the Fourth Proportional to 82,275, 113,539.56 and 44,549.28

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Solution

The fourth proportional to 82,275, 113,539.56 and 44,549.28 is: 61,478.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,275 : 113,539.56 = 44,549.28 : x
  2. Step 2: Convert to fraction form
    82,275/113,539.56 = 44,549.28/x
  3. Step 3: Cross multiply
    82,275x = 113,539.56 × 44,549.28
  4. Step 4: Simplify right side
    82,275x = 5,058,105,649.52
  5. Step 5: Solve for x
    x = 5,058,105,649.52/82,275
  6. Step 6: Final answer
    x = 61,478.04

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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.