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Finding the Fourth Proportional to 77,042.40, 115,439.40 and 43,663.20

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Solution

The fourth proportional to 77,042.40, 115,439.40 and 43,663.20 is: 65,424.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,042.40 : 115,439.40 = 43,663.20 : x
  2. Step 2: Convert to fraction form
    77,042.40/115,439.40 = 43,663.20/x
  3. Step 3: Cross multiply
    77,042.40x = 115,439.40 × 43,663.20
  4. Step 4: Simplify right side
    77,042.40x = 5,040,453,610.08
  5. Step 5: Solve for x
    x = 5,040,453,610.08/77,042.40
  6. Step 6: Final answer
    x = 65,424.41

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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.