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Finding the Fourth Proportional to 83,763.88, 115,594.41 and 47,954.16

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Solution

The fourth proportional to 83,763.88, 115,594.41 and 47,954.16 is: 66,176.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,763.88 : 115,594.41 = 47,954.16 : x
  2. Step 2: Convert to fraction form
    83,763.88/115,594.41 = 47,954.16/x
  3. Step 3: Cross multiply
    83,763.88x = 115,594.41 × 47,954.16
  4. Step 4: Simplify right side
    83,763.88x = 5,543,232,832.25
  5. Step 5: Solve for x
    x = 5,543,232,832.25/83,763.88
  6. Step 6: Final answer
    x = 66,176.89

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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.