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Finding the Fourth Proportional to 38,188.08, 57,283.08 and 10,486

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Solution

The fourth proportional to 38,188.08, 57,283.08 and 10,486 is: 15,729.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,188.08 : 57,283.08 = 10,486 : x
  2. Step 2: Convert to fraction form
    38,188.08/57,283.08 = 10,486/x
  3. Step 3: Cross multiply
    38,188.08x = 57,283.08 × 10,486
  4. Step 4: Simplify right side
    38,188.08x = 600,670,376.88
  5. Step 5: Solve for x
    x = 600,670,376.88/38,188.08
  6. Step 6: Final answer
    x = 15,729.26

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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.