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Finding the Fourth Proportional to 87,780, 121,136.33 and 49,547.60

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Solution

The fourth proportional to 87,780, 121,136.33 and 49,547.60 is: 68,375.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,780 : 121,136.33 = 49,547.60 : x
  2. Step 2: Convert to fraction form
    87,780/121,136.33 = 49,547.60/x
  3. Step 3: Cross multiply
    87,780x = 121,136.33 × 49,547.60
  4. Step 4: Simplify right side
    87,780x = 6,002,013,570.89
  5. Step 5: Solve for x
    x = 6,002,013,570.89/87,780
  6. Step 6: Final answer
    x = 68,375.64

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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.