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Finding the Fourth Proportional to 82,049.20, 113,228.01 and 44,323.45

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Solution

The fourth proportional to 82,049.20, 113,228.01 and 44,323.45 is: 61,166.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,049.20 : 113,228.01 = 44,323.45 : x
  2. Step 2: Convert to fraction form
    82,049.20/113,228.01 = 44,323.45/x
  3. Step 3: Cross multiply
    82,049.20x = 113,228.01 × 44,323.45
  4. Step 4: Simplify right side
    82,049.20x = 5,018,656,393.67
  5. Step 5: Solve for x
    x = 5,018,656,393.67/82,049.20
  6. Step 6: Final answer
    x = 61,166.42

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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.