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Finding the Fourth Proportional to 84,458.73, 126,707.81 and 24,488.46

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Solution

The fourth proportional to 84,458.73, 126,707.81 and 24,488.46 is: 36,738.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,458.73 : 126,707.81 = 24,488.46 : x
  2. Step 2: Convert to fraction form
    84,458.73/126,707.81 = 24,488.46/x
  3. Step 3: Cross multiply
    84,458.73x = 126,707.81 × 24,488.46
  4. Step 4: Simplify right side
    84,458.73x = 3,102,879,014.43
  5. Step 5: Solve for x
    x = 3,102,879,014.43/84,458.73
  6. Step 6: Final answer
    x = 36,738.40

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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.