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Finding the Fourth Proportional to 83,874.36, 115,743.96 and 46,148.40

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Solution

The fourth proportional to 83,874.36, 115,743.96 and 46,148.40 is: 63,683.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,874.36 : 115,743.96 = 46,148.40 : x
  2. Step 2: Convert to fraction form
    83,874.36/115,743.96 = 46,148.40/x
  3. Step 3: Cross multiply
    83,874.36x = 115,743.96 × 46,148.40
  4. Step 4: Simplify right side
    83,874.36x = 5,341,398,563.66
  5. Step 5: Solve for x
    x = 5,341,398,563.66/83,874.36
  6. Step 6: Final answer
    x = 63,683.33

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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.