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Finding the Fourth Proportional to 82,198.75, 113,434.29 and 44,473

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Solution

The fourth proportional to 82,198.75, 113,434.29 and 44,473 is: 61,372.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,198.75 : 113,434.29 = 44,473 : x
  2. Step 2: Convert to fraction form
    82,198.75/113,434.29 = 44,473/x
  3. Step 3: Cross multiply
    82,198.75x = 113,434.29 × 44,473
  4. Step 4: Simplify right side
    82,198.75x = 5,044,763,179.17
  5. Step 5: Solve for x
    x = 5,044,763,179.17/82,198.75
  6. Step 6: Final answer
    x = 61,372.75

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1.5x scale

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.