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Finding the Fourth Proportional to 85,225.44, 127,837.46 and 25,257.90

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Solution

The fourth proportional to 85,225.44, 127,837.46 and 25,257.90 is: 37,886.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,225.44 : 127,837.46 = 25,257.90 : x
  2. Step 2: Convert to fraction form
    85,225.44/127,837.46 = 25,257.90/x
  3. Step 3: Cross multiply
    85,225.44x = 127,837.46 × 25,257.90
  4. Step 4: Simplify right side
    85,225.44x = 3,228,905,780.93
  5. Step 5: Solve for x
    x = 3,228,905,780.93/85,225.44
  6. Step 6: Final answer
    x = 37,886.64

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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.