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Finding the Fourth Proportional to 76,937.40, 115,389.90 and 32,565.60

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Solution

The fourth proportional to 76,937.40, 115,389.90 and 32,565.60 is: 48,841.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,937.40 : 115,389.90 = 32,565.60 : x
  2. Step 2: Convert to fraction form
    76,937.40/115,389.90 = 32,565.60/x
  3. Step 3: Cross multiply
    76,937.40x = 115,389.90 × 32,565.60
  4. Step 4: Simplify right side
    76,937.40x = 3,757,741,327.44
  5. Step 5: Solve for x
    x = 3,757,741,327.44/76,937.40
  6. Step 6: Final answer
    x = 48,841.54

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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.