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Finding the Fourth Proportional to 92,500.40, 138,743.46 and 25,937

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Solution

The fourth proportional to 92,500.40, 138,743.46 and 25,937 is: 38,903.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,500.40 : 138,743.46 = 25,937 : x
  2. Step 2: Convert to fraction form
    92,500.40/138,743.46 = 25,937/x
  3. Step 3: Cross multiply
    92,500.40x = 138,743.46 × 25,937
  4. Step 4: Simplify right side
    92,500.40x = 3,598,589,122.02
  5. Step 5: Solve for x
    x = 3,598,589,122.02/92,500.40
  6. Step 6: Final answer
    x = 38,903.50

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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.