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Finding the Fourth Proportional to 87,660, 120,970.80 and 47,916

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Solution

The fourth proportional to 87,660, 120,970.80 and 47,916 is: 66,124.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,660 : 120,970.80 = 47,916 : x
  2. Step 2: Convert to fraction form
    87,660/120,970.80 = 47,916/x
  3. Step 3: Cross multiply
    87,660x = 120,970.80 × 47,916
  4. Step 4: Simplify right side
    87,660x = 5,796,436,852.80
  5. Step 5: Solve for x
    x = 5,796,436,852.80/87,660
  6. Step 6: Final answer
    x = 66,124.08

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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.