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Finding the Fourth Proportional to 48,596.90, 72,895.28 and 27,805.82

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Solution

The fourth proportional to 48,596.90, 72,895.28 and 27,805.82 is: 41,708.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,596.90 : 72,895.28 = 27,805.82 : x
  2. Step 2: Convert to fraction form
    48,596.90/72,895.28 = 27,805.82/x
  3. Step 3: Cross multiply
    48,596.90x = 72,895.28 × 27,805.82
  4. Step 4: Simplify right side
    48,596.90x = 2,026,912,531.02
  5. Step 5: Solve for x
    x = 2,026,912,531.02/48,596.90
  6. Step 6: Final answer
    x = 41,708.68

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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.