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Finding the Fourth Proportional to 82,815.90, 124,223.85 and 27,411.90

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Solution

The fourth proportional to 82,815.90, 124,223.85 and 27,411.90 is: 41,117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,815.90 : 124,223.85 = 27,411.90 : x
  2. Step 2: Convert to fraction form
    82,815.90/124,223.85 = 27,411.90/x
  3. Step 3: Cross multiply
    82,815.90x = 124,223.85 × 27,411.90
  4. Step 4: Simplify right side
    82,815.90x = 3,405,211,753.82
  5. Step 5: Solve for x
    x = 3,405,211,753.82/82,815.90
  6. Step 6: Final answer
    x = 41,117.85

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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.