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Finding the Fourth Proportional to 32,446.80, 48,670.20 and 7,822.80

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Solution

The fourth proportional to 32,446.80, 48,670.20 and 7,822.80 is: 11,734.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,446.80 : 48,670.20 = 7,822.80 : x
  2. Step 2: Convert to fraction form
    32,446.80/48,670.20 = 7,822.80/x
  3. Step 3: Cross multiply
    32,446.80x = 48,670.20 × 7,822.80
  4. Step 4: Simplify right side
    32,446.80x = 380,737,240.56
  5. Step 5: Solve for x
    x = 380,737,240.56/32,446.80
  6. Step 6: Final answer
    x = 11,734.20

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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.