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Finding the Fourth Proportional to 48,550.75, 72,811.78 and 24,843.67

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Solution

The fourth proportional to 48,550.75, 72,811.78 and 24,843.67 is: 37,258.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,550.75 : 72,811.78 = 24,843.67 : x
  2. Step 2: Convert to fraction form
    48,550.75/72,811.78 = 24,843.67/x
  3. Step 3: Cross multiply
    48,550.75x = 72,811.78 × 24,843.67
  4. Step 4: Simplify right side
    48,550.75x = 1,808,911,590.29
  5. Step 5: Solve for x
    x = 1,808,911,590.29/48,550.75
  6. Step 6: Final answer
    x = 37,258.16

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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.