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Finding the Fourth Proportional to 70,817.25, 106,083.42 and 32,813.28

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Solution

The fourth proportional to 70,817.25, 106,083.42 and 32,813.28 is: 49,153.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,817.25 : 106,083.42 = 32,813.28 : x
  2. Step 2: Convert to fraction form
    70,817.25/106,083.42 = 32,813.28/x
  3. Step 3: Cross multiply
    70,817.25x = 106,083.42 × 32,813.28
  4. Step 4: Simplify right side
    70,817.25x = 3,480,944,963.82
  5. Step 5: Solve for x
    x = 3,480,944,963.82/70,817.25
  6. Step 6: Final answer
    x = 49,153.91

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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.