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Finding the Fourth Proportional to 75,262.97, 103,777.75 and 48,002.60

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Solution

The fourth proportional to 75,262.97, 103,777.75 and 48,002.60 is: 66,189.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,262.97 : 103,777.75 = 48,002.60 : x
  2. Step 2: Convert to fraction form
    75,262.97/103,777.75 = 48,002.60/x
  3. Step 3: Cross multiply
    75,262.97x = 103,777.75 × 48,002.60
  4. Step 4: Simplify right side
    75,262.97x = 4,981,601,822.15
  5. Step 5: Solve for x
    x = 4,981,601,822.15/75,262.97
  6. Step 6: Final answer
    x = 66,189.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.