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Finding the Fourth Proportional to 76,757.80, 115,062.78 and 32,423.08

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Solution

The fourth proportional to 76,757.80, 115,062.78 and 32,423.08 is: 48,603.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,757.80 : 115,062.78 = 32,423.08 : x
  2. Step 2: Convert to fraction form
    76,757.80/115,062.78 = 32,423.08/x
  3. Step 3: Cross multiply
    76,757.80x = 115,062.78 × 32,423.08
  4. Step 4: Simplify right side
    76,757.80x = 3,730,689,720.96
  5. Step 5: Solve for x
    x = 3,730,689,720.96/76,757.80
  6. Step 6: Final answer
    x = 48,603.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.