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Finding the Fourth Proportional to 32,401.13, 48,601.69 and 7,777.13

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Solution

The fourth proportional to 32,401.13, 48,601.69 and 7,777.13 is: 11,665.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,401.13 : 48,601.69 = 7,777.13 : x
  2. Step 2: Convert to fraction form
    32,401.13/48,601.69 = 7,777.13/x
  3. Step 3: Cross multiply
    32,401.13x = 48,601.69 × 7,777.13
  4. Step 4: Simplify right side
    32,401.13x = 377,981,398.90
  5. Step 5: Solve for x
    x = 377,981,398.90/32,401.13
  6. Step 6: Final answer
    x = 11,665.69

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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.