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Finding the Fourth Proportional to 82,475.65, 113,817.72 and 44,749.90

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Solution

The fourth proportional to 82,475.65, 113,817.72 and 44,749.90 is: 61,755.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,475.65 : 113,817.72 = 44,749.90 : x
  2. Step 2: Convert to fraction form
    82,475.65/113,817.72 = 44,749.90/x
  3. Step 3: Cross multiply
    82,475.65x = 113,817.72 × 44,749.90
  4. Step 4: Simplify right side
    82,475.65x = 5,093,331,588.23
  5. Step 5: Solve for x
    x = 5,093,331,588.23/82,475.65
  6. Step 6: Final answer
    x = 61,755.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.