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Finding the Fourth Proportional to 87,570, 120,846.74 and 49,844.25

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Solution

The fourth proportional to 87,570, 120,846.74 and 49,844.25 is: 68,785.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,570 : 120,846.74 = 49,844.25 : x
  2. Step 2: Convert to fraction form
    87,570/120,846.74 = 49,844.25/x
  3. Step 3: Cross multiply
    87,570x = 120,846.74 × 49,844.25
  4. Step 4: Simplify right side
    87,570x = 6,023,514,871.02
  5. Step 5: Solve for x
    x = 6,023,514,871.02/87,570
  6. Step 6: Final answer
    x = 68,785.14

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