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Finding the Fourth Proportional to 77,854.39, 116,722.69 and 32,889.67

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Solution

The fourth proportional to 77,854.39, 116,722.69 and 32,889.67 is: 49,309.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,854.39 : 116,722.69 = 32,889.67 : x
  2. Step 2: Convert to fraction form
    77,854.39/116,722.69 = 32,889.67/x
  3. Step 3: Cross multiply
    77,854.39x = 116,722.69 × 32,889.67
  4. Step 4: Simplify right side
    77,854.39x = 3,838,970,755.61
  5. Step 5: Solve for x
    x = 3,838,970,755.61/77,854.39
  6. Step 6: Final answer
    x = 49,309.62

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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.