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Finding the Fourth Proportional to 82,199.75, 113,435.67 and 44,474

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Solution

The fourth proportional to 82,199.75, 113,435.67 and 44,474 is: 61,374.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,199.75 : 113,435.67 = 44,474 : x
  2. Step 2: Convert to fraction form
    82,199.75/113,435.67 = 44,474/x
  3. Step 3: Cross multiply
    82,199.75x = 113,435.67 × 44,474
  4. Step 4: Simplify right side
    82,199.75x = 5,044,937,987.58
  5. Step 5: Solve for x
    x = 5,044,937,987.58/82,199.75
  6. Step 6: Final answer
    x = 61,374.13

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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.