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Finding the Fourth Proportional to 37,187.33, 51,275.18 and 27,739.49

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Solution

The fourth proportional to 37,187.33, 51,275.18 and 27,739.49 is: 38,248.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,187.33 : 51,275.18 = 27,739.49 : x
  2. Step 2: Convert to fraction form
    37,187.33/51,275.18 = 27,739.49/x
  3. Step 3: Cross multiply
    37,187.33x = 51,275.18 × 27,739.49
  4. Step 4: Simplify right side
    37,187.33x = 1,422,347,204.16
  5. Step 5: Solve for x
    x = 1,422,347,204.16/37,187.33
  6. Step 6: Final answer
    x = 38,248.17

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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.