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Finding the Fourth Proportional to 33,109.40, 49,664.10 and 26,548.40

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Solution

The fourth proportional to 33,109.40, 49,664.10 and 26,548.40 is: 39,822.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,109.40 : 49,664.10 = 26,548.40 : x
  2. Step 2: Convert to fraction form
    33,109.40/49,664.10 = 26,548.40/x
  3. Step 3: Cross multiply
    33,109.40x = 49,664.10 × 26,548.40
  4. Step 4: Simplify right side
    33,109.40x = 1,318,502,392.44
  5. Step 5: Solve for x
    x = 1,318,502,392.44/33,109.40
  6. Step 6: Final answer
    x = 39,822.60

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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.