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Finding the Fourth Proportional to 87,746, 121,089.96 and 48,002

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Solution

The fourth proportional to 87,746, 121,089.96 and 48,002 is: 66,243.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,746 : 121,089.96 = 48,002 : x
  2. Step 2: Convert to fraction form
    87,746/121,089.96 = 48,002/x
  3. Step 3: Cross multiply
    87,746x = 121,089.96 × 48,002
  4. Step 4: Simplify right side
    87,746x = 5,812,560,259.92
  5. Step 5: Solve for x
    x = 5,812,560,259.92/87,746
  6. Step 6: Final answer
    x = 66,243.02

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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.