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Finding the Fourth Proportional to 84,013.32, 125,977.14 and 27,833.16

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Solution

The fourth proportional to 84,013.32, 125,977.14 and 27,833.16 is: 41,735.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,013.32 : 125,977.14 = 27,833.16 : x
  2. Step 2: Convert to fraction form
    84,013.32/125,977.14 = 27,833.16/x
  3. Step 3: Cross multiply
    84,013.32x = 125,977.14 × 27,833.16
  4. Step 4: Simplify right side
    84,013.32x = 3,506,341,893.96
  5. Step 5: Solve for x
    x = 3,506,341,893.96/84,013.32
  6. Step 6: Final answer
    x = 41,735.55

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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.