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Finding the Fourth Proportional to 77,324.40, 115,900.20 and 32,943.60

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Solution

The fourth proportional to 77,324.40, 115,900.20 and 32,943.60 is: 49,378.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,324.40 : 115,900.20 = 32,943.60 : x
  2. Step 2: Convert to fraction form
    77,324.40/115,900.20 = 32,943.60/x
  3. Step 3: Cross multiply
    77,324.40x = 115,900.20 × 32,943.60
  4. Step 4: Simplify right side
    77,324.40x = 3,818,169,828.72
  5. Step 5: Solve for x
    x = 3,818,169,828.72/77,324.40
  6. Step 6: Final answer
    x = 49,378.59

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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.