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Finding the Fourth Proportional to 55,280, 76,233.12 and 37,171.52

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Solution

The fourth proportional to 55,280, 76,233.12 and 37,171.52 is: 51,260.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,280 : 76,233.12 = 37,171.52 : x
  2. Step 2: Convert to fraction form
    55,280/76,233.12 = 37,171.52/x
  3. Step 3: Cross multiply
    55,280x = 76,233.12 × 37,171.52
  4. Step 4: Simplify right side
    55,280x = 2,833,700,944.74
  5. Step 5: Solve for x
    x = 2,833,700,944.74/55,280
  6. Step 6: Final answer
    x = 51,260.87

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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.