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Finding the Fourth Proportional to 92,165.68, 138,251.04 and 25,606

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Solution

The fourth proportional to 92,165.68, 138,251.04 and 25,606 is: 38,409.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,165.68 : 138,251.04 = 25,606 : x
  2. Step 2: Convert to fraction form
    92,165.68/138,251.04 = 25,606/x
  3. Step 3: Cross multiply
    92,165.68x = 138,251.04 × 25,606
  4. Step 4: Simplify right side
    92,165.68x = 3,540,056,130.24
  5. Step 5: Solve for x
    x = 3,540,056,130.24/92,165.68
  6. Step 6: Final answer
    x = 38,409.70

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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.