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Finding the Fourth Proportional to 77,562.57, 107,033.94 and 43,574.77

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Solution

The fourth proportional to 77,562.57, 107,033.94 and 43,574.77 is: 60,131.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,562.57 : 107,033.94 = 43,574.77 : x
  2. Step 2: Convert to fraction form
    77,562.57/107,033.94 = 43,574.77/x
  3. Step 3: Cross multiply
    77,562.57x = 107,033.94 × 43,574.77
  4. Step 4: Simplify right side
    77,562.57x = 4,663,979,451.49
  5. Step 5: Solve for x
    x = 4,663,979,451.49/77,562.57
  6. Step 6: Final answer
    x = 60,131.83

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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.