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Finding the Fourth Proportional to 55,968, 83,951.94 and 38,384.52

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Solution

The fourth proportional to 55,968, 83,951.94 and 38,384.52 is: 57,576.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,968 : 83,951.94 = 38,384.52 : x
  2. Step 2: Convert to fraction form
    55,968/83,951.94 = 38,384.52/x
  3. Step 3: Cross multiply
    55,968x = 83,951.94 × 38,384.52
  4. Step 4: Simplify right side
    55,968x = 3,222,454,919.97
  5. Step 5: Solve for x
    x = 3,222,454,919.97/55,968
  6. Step 6: Final answer
    x = 57,576.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.