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Finding the Fourth Proportional to 82,375.79, 113,678.64 and 44,650.04

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Solution

The fourth proportional to 82,375.79, 113,678.64 and 44,650.04 is: 61,617.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,375.79 : 113,678.64 = 44,650.04 : x
  2. Step 2: Convert to fraction form
    82,375.79/113,678.64 = 44,650.04/x
  3. Step 3: Cross multiply
    82,375.79x = 113,678.64 × 44,650.04
  4. Step 4: Simplify right side
    82,375.79x = 5,075,755,254.75
  5. Step 5: Solve for x
    x = 5,075,755,254.75/82,375.79
  6. Step 6: Final answer
    x = 61,617.08

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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.