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Finding the Fourth Proportional to 24,758.40, 37,141.20 and 8,119.20

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Solution

The fourth proportional to 24,758.40, 37,141.20 and 8,119.20 is: 12,179.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,758.40 : 37,141.20 = 8,119.20 : x
  2. Step 2: Convert to fraction form
    24,758.40/37,141.20 = 8,119.20/x
  3. Step 3: Cross multiply
    24,758.40x = 37,141.20 × 8,119.20
  4. Step 4: Simplify right side
    24,758.40x = 301,556,831.04
  5. Step 5: Solve for x
    x = 301,556,831.04/24,758.40
  6. Step 6: Final answer
    x = 12,179.98

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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.