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Finding the Fourth Proportional to 55,768.38, 76,957.74 and 30,274.18

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Solution

The fourth proportional to 55,768.38, 76,957.74 and 30,274.18 is: 41,776.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,768.38 : 76,957.74 = 30,274.18 : x
  2. Step 2: Convert to fraction form
    55,768.38/76,957.74 = 30,274.18/x
  3. Step 3: Cross multiply
    55,768.38x = 76,957.74 × 30,274.18
  4. Step 4: Simplify right side
    55,768.38x = 2,329,832,473.15
  5. Step 5: Solve for x
    x = 2,329,832,473.15/55,768.38
  6. Step 6: Final answer
    x = 41,776.94

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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.