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Finding the Fourth Proportional to 92,426.68, 138,640.08 and 22,306

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Solution

The fourth proportional to 92,426.68, 138,640.08 and 22,306 is: 33,459.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,426.68 : 138,640.08 = 22,306 : x
  2. Step 2: Convert to fraction form
    92,426.68/138,640.08 = 22,306/x
  3. Step 3: Cross multiply
    92,426.68x = 138,640.08 × 22,306
  4. Step 4: Simplify right side
    92,426.68x = 3,092,505,624.48
  5. Step 5: Solve for x
    x = 3,092,505,624.48/92,426.68
  6. Step 6: Final answer
    x = 33,459.01

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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.