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Finding the Fourth Proportional to 83,801.61, 115,670.75 and 49,834.04

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Solution

The fourth proportional to 83,801.61, 115,670.75 and 49,834.04 is: 68,785.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,801.61 : 115,670.75 = 49,834.04 : x
  2. Step 2: Convert to fraction form
    83,801.61/115,670.75 = 49,834.04/x
  3. Step 3: Cross multiply
    83,801.61x = 115,670.75 × 49,834.04
  4. Step 4: Simplify right side
    83,801.61x = 5,764,339,954.81
  5. Step 5: Solve for x
    x = 5,764,339,954.81/83,801.61
  6. Step 6: Final answer
    x = 68,785.55

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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.