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Finding the Fourth Proportional to 82,193.84, 113,438.28 and 61,033.52

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Solution

The fourth proportional to 82,193.84, 113,438.28 and 61,033.52 is: 84,234.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,193.84 : 113,438.28 = 61,033.52 : x
  2. Step 2: Convert to fraction form
    82,193.84/113,438.28 = 61,033.52/x
  3. Step 3: Cross multiply
    82,193.84x = 113,438.28 × 61,033.52
  4. Step 4: Simplify right side
    82,193.84x = 6,923,537,531.15
  5. Step 5: Solve for x
    x = 6,923,537,531.15/82,193.84
  6. Step 6: Final answer
    x = 84,234.26

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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.