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Finding the Fourth Proportional to 55,751.94, 76,935.96 and 30,257.10

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Solution

The fourth proportional to 55,751.94, 76,935.96 and 30,257.10 is: 41,753.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,751.94 : 76,935.96 = 30,257.10 : x
  2. Step 2: Convert to fraction form
    55,751.94/76,935.96 = 30,257.10/x
  3. Step 3: Cross multiply
    55,751.94x = 76,935.96 × 30,257.10
  4. Step 4: Simplify right side
    55,751.94x = 2,327,859,035.32
  5. Step 5: Solve for x
    x = 2,327,859,035.32/55,751.94
  6. Step 6: Final answer
    x = 41,753.87

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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.