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Finding the Fourth Proportional to 83,482.92, 115,207.11 and 45,757.44

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Solution

The fourth proportional to 83,482.92, 115,207.11 and 45,757.44 is: 63,145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,482.92 : 115,207.11 = 45,757.44 : x
  2. Step 2: Convert to fraction form
    83,482.92/115,207.11 = 45,757.44/x
  3. Step 3: Cross multiply
    83,482.92x = 115,207.11 × 45,757.44
  4. Step 4: Simplify right side
    83,482.92x = 5,271,582,423.40
  5. Step 5: Solve for x
    x = 5,271,582,423.40/83,482.92
  6. Step 6: Final answer
    x = 63,145.64

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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.