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Finding the Fourth Proportional to 103,540.52, 155,262.18 and 47,364.68

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Solution

The fourth proportional to 103,540.52, 155,262.18 and 47,364.68 is: 71,024.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,540.52 : 155,262.18 = 47,364.68 : x
  2. Step 2: Convert to fraction form
    103,540.52/155,262.18 = 47,364.68/x
  3. Step 3: Cross multiply
    103,540.52x = 155,262.18 × 47,364.68
  4. Step 4: Simplify right side
    103,540.52x = 7,353,943,471.80
  5. Step 5: Solve for x
    x = 7,353,943,471.80/103,540.52
  6. Step 6: Final answer
    x = 71,024.79

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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.