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Finding the Fourth Proportional to 83,406.38, 115,100.80 and 45,680.90

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Solution

The fourth proportional to 83,406.38, 115,100.80 and 45,680.90 is: 63,039.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,406.38 : 115,100.80 = 45,680.90 : x
  2. Step 2: Convert to fraction form
    83,406.38/115,100.80 = 45,680.90/x
  3. Step 3: Cross multiply
    83,406.38x = 115,100.80 × 45,680.90
  4. Step 4: Simplify right side
    83,406.38x = 5,257,907,445.01
  5. Step 5: Solve for x
    x = 5,257,907,445.01/83,406.38
  6. Step 6: Final answer
    x = 63,039.64

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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.