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Finding the Fourth Proportional to 82,200.75, 113,437.05 and 44,475

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Solution

The fourth proportional to 82,200.75, 113,437.05 and 44,475 is: 61,375.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,200.75 : 113,437.05 = 44,475 : x
  2. Step 2: Convert to fraction form
    82,200.75/113,437.05 = 44,475/x
  3. Step 3: Cross multiply
    82,200.75x = 113,437.05 × 44,475
  4. Step 4: Simplify right side
    82,200.75x = 5,045,112,798.75
  5. Step 5: Solve for x
    x = 5,045,112,798.75/82,200.75
  6. Step 6: Final answer
    x = 61,375.51

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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.