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Finding the Fourth Proportional to 82,375.50, 113,678.43 and 44,649.90

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Solution

The fourth proportional to 82,375.50, 113,678.43 and 44,649.90 is: 61,616.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,375.50 : 113,678.43 = 44,649.90 : x
  2. Step 2: Convert to fraction form
    82,375.50/113,678.43 = 44,649.90/x
  3. Step 3: Cross multiply
    82,375.50x = 113,678.43 × 44,649.90
  4. Step 4: Simplify right side
    82,375.50x = 5,075,730,531.66
  5. Step 5: Solve for x
    x = 5,075,730,531.66/82,375.50
  6. Step 6: Final answer
    x = 61,616.99

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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.