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Finding the Fourth Proportional to 100,432.50, 138,596.88 and 55,720.50

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Solution

The fourth proportional to 100,432.50, 138,596.88 and 55,720.50 is: 76,894.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,432.50 : 138,596.88 = 55,720.50 : x
  2. Step 2: Convert to fraction form
    100,432.50/138,596.88 = 55,720.50/x
  3. Step 3: Cross multiply
    100,432.50x = 138,596.88 × 55,720.50
  4. Step 4: Simplify right side
    100,432.50x = 7,722,687,452.04
  5. Step 5: Solve for x
    x = 7,722,687,452.04/100,432.50
  6. Step 6: Final answer
    x = 76,894.31

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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.