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Finding the Fourth Proportional to 37,182.52, 51,268.53 and 27,734.68

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Solution

The fourth proportional to 37,182.52, 51,268.53 and 27,734.68 is: 38,241.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,182.52 : 51,268.53 = 27,734.68 : x
  2. Step 2: Convert to fraction form
    37,182.52/51,268.53 = 27,734.68/x
  3. Step 3: Cross multiply
    37,182.52x = 51,268.53 × 27,734.68
  4. Step 4: Simplify right side
    37,182.52x = 1,421,916,285.70
  5. Step 5: Solve for x
    x = 1,421,916,285.70/37,182.52
  6. Step 6: Final answer
    x = 38,241.52

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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.