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Finding the Fourth Proportional to 83,896.34, 125,844.46 and 57,521.12

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Solution

The fourth proportional to 83,896.34, 125,844.46 and 57,521.12 is: 86,281.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,896.34 : 125,844.46 = 57,521.12 : x
  2. Step 2: Convert to fraction form
    83,896.34/125,844.46 = 57,521.12/x
  3. Step 3: Cross multiply
    83,896.34x = 125,844.46 × 57,521.12
  4. Step 4: Simplify right side
    83,896.34x = 7,238,714,285.00
  5. Step 5: Solve for x
    x = 7,238,714,285.00/83,896.34
  6. Step 6: Final answer
    x = 86,281.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.