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Finding the Fourth Proportional to 82,660.80, 114,070.56 and 44,936

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Solution

The fourth proportional to 82,660.80, 114,070.56 and 44,936 is: 62,010.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,660.80 : 114,070.56 = 44,936 : x
  2. Step 2: Convert to fraction form
    82,660.80/114,070.56 = 44,936/x
  3. Step 3: Cross multiply
    82,660.80x = 114,070.56 × 44,936
  4. Step 4: Simplify right side
    82,660.80x = 5,125,874,684.16
  5. Step 5: Solve for x
    x = 5,125,874,684.16/82,660.80
  6. Step 6: Final answer
    x = 62,010.95

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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.