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Finding the Fourth Proportional to 37,243.67, 51,395.81 and 27,726.08

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Solution

The fourth proportional to 37,243.67, 51,395.81 and 27,726.08 is: 38,261.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,243.67 : 51,395.81 = 27,726.08 : x
  2. Step 2: Convert to fraction form
    37,243.67/51,395.81 = 27,726.08/x
  3. Step 3: Cross multiply
    37,243.67x = 51,395.81 × 27,726.08
  4. Step 4: Simplify right side
    37,243.67x = 1,425,003,944.12
  5. Step 5: Solve for x
    x = 1,425,003,944.12/37,243.67
  6. Step 6: Final answer
    x = 38,261.65

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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.