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Finding the Fourth Proportional to 33,432, 50,114.64 and 16,741.08

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Solution

The fourth proportional to 33,432, 50,114.64 and 16,741.08 is: 25,094.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,432 : 50,114.64 = 16,741.08 : x
  2. Step 2: Convert to fraction form
    33,432/50,114.64 = 16,741.08/x
  3. Step 3: Cross multiply
    33,432x = 50,114.64 × 16,741.08
  4. Step 4: Simplify right side
    33,432x = 838,973,197.41
  5. Step 5: Solve for x
    x = 838,973,197.41/33,432
  6. Step 6: Final answer
    x = 25,094.91

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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.