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Finding the Fourth Proportional to 38,253.74, 57,378.38 and 17,188.34

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Solution

The fourth proportional to 38,253.74, 57,378.38 and 17,188.34 is: 25,781.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,253.74 : 57,378.38 = 17,188.34 : x
  2. Step 2: Convert to fraction form
    38,253.74/57,378.38 = 17,188.34/x
  3. Step 3: Cross multiply
    38,253.74x = 57,378.38 × 17,188.34
  4. Step 4: Simplify right side
    38,253.74x = 986,238,731.26
  5. Step 5: Solve for x
    x = 986,238,731.26/38,253.74
  6. Step 6: Final answer
    x = 25,781.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.