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Finding the Fourth Proportional to 70,879.78, 106,336.14 and 24,133.06

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Solution

The fourth proportional to 70,879.78, 106,336.14 and 24,133.06 is: 36,205.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,879.78 : 106,336.14 = 24,133.06 : x
  2. Step 2: Convert to fraction form
    70,879.78/106,336.14 = 24,133.06/x
  3. Step 3: Cross multiply
    70,879.78x = 106,336.14 × 24,133.06
  4. Step 4: Simplify right side
    70,879.78x = 2,566,216,446.79
  5. Step 5: Solve for x
    x = 2,566,216,446.79/70,879.78
  6. Step 6: Final answer
    x = 36,205.20

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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.