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Finding the Fourth Proportional to 38,422.60, 53,029.02 and 27,808.36

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Solution

The fourth proportional to 38,422.60, 53,029.02 and 27,808.36 is: 38,379.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,422.60 : 53,029.02 = 27,808.36 : x
  2. Step 2: Convert to fraction form
    38,422.60/53,029.02 = 27,808.36/x
  3. Step 3: Cross multiply
    38,422.60x = 53,029.02 × 27,808.36
  4. Step 4: Simplify right side
    38,422.60x = 1,474,650,078.61
  5. Step 5: Solve for x
    x = 1,474,650,078.61/38,422.60
  6. Step 6: Final answer
    x = 38,379.76

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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.