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Finding the Fourth Proportional to 33,135.40, 49,703.10 and 24,387.40

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Solution

The fourth proportional to 33,135.40, 49,703.10 and 24,387.40 is: 36,581.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,135.40 : 49,703.10 = 24,387.40 : x
  2. Step 2: Convert to fraction form
    33,135.40/49,703.10 = 24,387.40/x
  3. Step 3: Cross multiply
    33,135.40x = 49,703.10 × 24,387.40
  4. Step 4: Simplify right side
    33,135.40x = 1,212,129,380.94
  5. Step 5: Solve for x
    x = 1,212,129,380.94/33,135.40
  6. Step 6: Final answer
    x = 36,581.10

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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.