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Finding the Fourth Proportional to 71,627.40, 107,403.30 and 24,226.20

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Solution

The fourth proportional to 71,627.40, 107,403.30 and 24,226.20 is: 36,326.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,627.40 : 107,403.30 = 24,226.20 : x
  2. Step 2: Convert to fraction form
    71,627.40/107,403.30 = 24,226.20/x
  3. Step 3: Cross multiply
    71,627.40x = 107,403.30 × 24,226.20
  4. Step 4: Simplify right side
    71,627.40x = 2,601,973,826.46
  5. Step 5: Solve for x
    x = 2,601,973,826.46/71,627.40
  6. Step 6: Final answer
    x = 36,326.52

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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.