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Finding the Fourth Proportional to 83,118.60, 124,596.90 and 47,543.40

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Solution

The fourth proportional to 83,118.60, 124,596.90 and 47,543.40 is: 71,268.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,118.60 : 124,596.90 = 47,543.40 : x
  2. Step 2: Convert to fraction form
    83,118.60/124,596.90 = 47,543.40/x
  3. Step 3: Cross multiply
    83,118.60x = 124,596.90 × 47,543.40
  4. Step 4: Simplify right side
    83,118.60x = 5,923,760,255.46
  5. Step 5: Solve for x
    x = 5,923,760,255.46/83,118.60
  6. Step 6: Final answer
    x = 71,268.77

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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.