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Finding the Fourth Proportional to 36,266.40, 54,356.40 and 15,206.40

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Solution

The fourth proportional to 36,266.40, 54,356.40 and 15,206.40 is: 22,791.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,266.40 : 54,356.40 = 15,206.40 : x
  2. Step 2: Convert to fraction form
    36,266.40/54,356.40 = 15,206.40/x
  3. Step 3: Cross multiply
    36,266.40x = 54,356.40 × 15,206.40
  4. Step 4: Simplify right side
    36,266.40x = 826,565,160.96
  5. Step 5: Solve for x
    x = 826,565,160.96/36,266.40
  6. Step 6: Final answer
    x = 22,791.49

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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.