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Finding the Fourth Proportional to 82,147.50, 113,363.82 and 44,422.02

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Solution

The fourth proportional to 82,147.50, 113,363.82 and 44,422.02 is: 61,302.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,147.50 : 113,363.82 = 44,422.02 : x
  2. Step 2: Convert to fraction form
    82,147.50/113,363.82 = 44,422.02/x
  3. Step 3: Cross multiply
    82,147.50x = 113,363.82 × 44,422.02
  4. Step 4: Simplify right side
    82,147.50x = 5,035,849,879.32
  5. Step 5: Solve for x
    x = 5,035,849,879.32/82,147.50
  6. Step 6: Final answer
    x = 61,302.53

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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.