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Finding the Fourth Proportional to 87,846.84, 121,228.92 and 47,561.04

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Solution

The fourth proportional to 87,846.84, 121,228.92 and 47,561.04 is: 65,634.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,846.84 : 121,228.92 = 47,561.04 : x
  2. Step 2: Convert to fraction form
    87,846.84/121,228.92 = 47,561.04/x
  3. Step 3: Cross multiply
    87,846.84x = 121,228.92 × 47,561.04
  4. Step 4: Simplify right side
    87,846.84x = 5,765,773,513.28
  5. Step 5: Solve for x
    x = 5,765,773,513.28/87,846.84
  6. Step 6: Final answer
    x = 65,634.39

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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.