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Finding the Fourth Proportional to 37,296.74, 51,473.22 and 27,848.90

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Solution

The fourth proportional to 37,296.74, 51,473.22 and 27,848.90 is: 38,434.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,296.74 : 51,473.22 = 27,848.90 : x
  2. Step 2: Convert to fraction form
    37,296.74/51,473.22 = 27,848.90/x
  3. Step 3: Cross multiply
    37,296.74x = 51,473.22 × 27,848.90
  4. Step 4: Simplify right side
    37,296.74x = 1,433,472,556.46
  5. Step 5: Solve for x
    x = 1,433,472,556.46/37,296.74
  6. Step 6: Final answer
    x = 38,434.26

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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.