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Finding the Fourth Proportional to 77,639.44, 107,144.76 and 47,429.68

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Solution

The fourth proportional to 77,639.44, 107,144.76 and 47,429.68 is: 65,454.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,639.44 : 107,144.76 = 47,429.68 : x
  2. Step 2: Convert to fraction form
    77,639.44/107,144.76 = 47,429.68/x
  3. Step 3: Cross multiply
    77,639.44x = 107,144.76 × 47,429.68
  4. Step 4: Simplify right side
    77,639.44x = 5,081,841,680.48
  5. Step 5: Solve for x
    x = 5,081,841,680.48/77,639.44
  6. Step 6: Final answer
    x = 65,454.38

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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.