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Finding the Fourth Proportional to 77,141.22, 106,424.46 and 48,444

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Solution

The fourth proportional to 77,141.22, 106,424.46 and 48,444 is: 66,833.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,141.22 : 106,424.46 = 48,444 : x
  2. Step 2: Convert to fraction form
    77,141.22/106,424.46 = 48,444/x
  3. Step 3: Cross multiply
    77,141.22x = 106,424.46 × 48,444
  4. Step 4: Simplify right side
    77,141.22x = 5,155,626,540.24
  5. Step 5: Solve for x
    x = 5,155,626,540.24/77,141.22
  6. Step 6: Final answer
    x = 66,833.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.