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Finding the Fourth Proportional to 82,482.75, 113,826.20 and 44,757

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Solution

The fourth proportional to 82,482.75, 113,826.20 and 44,757 is: 61,764.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,482.75 : 113,826.20 = 44,757 : x
  2. Step 2: Convert to fraction form
    82,482.75/113,826.20 = 44,757/x
  3. Step 3: Cross multiply
    82,482.75x = 113,826.20 × 44,757
  4. Step 4: Simplify right side
    82,482.75x = 5,094,519,009.62
  5. Step 5: Solve for x
    x = 5,094,519,009.62/82,482.75
  6. Step 6: Final answer
    x = 61,764.66

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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.