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Finding the Fourth Proportional to 82,042.25, 113,218.35 and 44,316.50

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Solution

The fourth proportional to 82,042.25, 113,218.35 and 44,316.50 is: 61,156.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,042.25 : 113,218.35 = 44,316.50 : x
  2. Step 2: Convert to fraction form
    82,042.25/113,218.35 = 44,316.50/x
  3. Step 3: Cross multiply
    82,042.25x = 113,218.35 × 44,316.50
  4. Step 4: Simplify right side
    82,042.25x = 5,017,441,007.78
  5. Step 5: Solve for x
    x = 5,017,441,007.78/82,042.25
  6. Step 6: Final answer
    x = 61,156.79

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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.