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Finding the Fourth Proportional to 83,683.38, 115,455.24 and 49,702.26

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Solution

The fourth proportional to 83,683.38, 115,455.24 and 49,702.26 is: 68,572.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,683.38 : 115,455.24 = 49,702.26 : x
  2. Step 2: Convert to fraction form
    83,683.38/115,455.24 = 49,702.26/x
  3. Step 3: Cross multiply
    83,683.38x = 115,455.24 × 49,702.26
  4. Step 4: Simplify right side
    83,683.38x = 5,738,386,356.84
  5. Step 5: Solve for x
    x = 5,738,386,356.84/83,683.38
  6. Step 6: Final answer
    x = 68,572.59

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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.