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Finding the Fourth Proportional to 48,191.85, 72,246.19 and 23,197.50

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Solution

The fourth proportional to 48,191.85, 72,246.19 and 23,197.50 is: 34,776.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,191.85 : 72,246.19 = 23,197.50 : x
  2. Step 2: Convert to fraction form
    48,191.85/72,246.19 = 23,197.50/x
  3. Step 3: Cross multiply
    48,191.85x = 72,246.19 × 23,197.50
  4. Step 4: Simplify right side
    48,191.85x = 1,675,930,992.53
  5. Step 5: Solve for x
    x = 1,675,930,992.53/48,191.85
  6. Step 6: Final answer
    x = 34,776.23

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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.