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Finding the Fourth Proportional to 32,506.90, 48,767.03 and 10,319.78

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Solution

The fourth proportional to 32,506.90, 48,767.03 and 10,319.78 is: 15,481.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,506.90 : 48,767.03 = 10,319.78 : x
  2. Step 2: Convert to fraction form
    32,506.90/48,767.03 = 10,319.78/x
  3. Step 3: Cross multiply
    32,506.90x = 48,767.03 × 10,319.78
  4. Step 4: Simplify right side
    32,506.90x = 503,265,020.85
  5. Step 5: Solve for x
    x = 503,265,020.85/32,506.90
  6. Step 6: Final answer
    x = 15,481.79

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1.5x scale

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.