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Finding the Fourth Proportional to 48,543.70, 72,825.95 and 27,493.69

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Solution

The fourth proportional to 48,543.70, 72,825.95 and 27,493.69 is: 41,246.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,543.70 : 72,825.95 = 27,493.69 : x
  2. Step 2: Convert to fraction form
    48,543.70/72,825.95 = 27,493.69/x
  3. Step 3: Cross multiply
    48,543.70x = 72,825.95 × 27,493.69
  4. Step 4: Simplify right side
    48,543.70x = 2,002,254,093.26
  5. Step 5: Solve for x
    x = 2,002,254,093.26/48,543.70
  6. Step 6: Final answer
    x = 41,246.43

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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.