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Finding the Fourth Proportional to 83,734.32, 115,554.67 and 45,494.62

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Solution

The fourth proportional to 83,734.32, 115,554.67 and 45,494.62 is: 62,783.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,734.32 : 115,554.67 = 45,494.62 : x
  2. Step 2: Convert to fraction form
    83,734.32/115,554.67 = 45,494.62/x
  3. Step 3: Cross multiply
    83,734.32x = 115,554.67 × 45,494.62
  4. Step 4: Simplify right side
    83,734.32x = 5,257,115,800.88
  5. Step 5: Solve for x
    x = 5,257,115,800.88/83,734.32
  6. Step 6: Final answer
    x = 62,783.29

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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.