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Finding the Fourth Proportional to 77,292.56, 106,663.74 and 43,758.56

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Solution

The fourth proportional to 77,292.56, 106,663.74 and 43,758.56 is: 60,386.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,292.56 : 106,663.74 = 43,758.56 : x
  2. Step 2: Convert to fraction form
    77,292.56/106,663.74 = 43,758.56/x
  3. Step 3: Cross multiply
    77,292.56x = 106,663.74 × 43,758.56
  4. Step 4: Simplify right side
    77,292.56x = 4,667,451,769.18
  5. Step 5: Solve for x
    x = 4,667,451,769.18/77,292.56
  6. Step 6: Final answer
    x = 60,386.82

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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.