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Finding the Fourth Proportional to 33,294.80, 46,000.84 and 32,967.12

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Solution

The fourth proportional to 33,294.80, 46,000.84 and 32,967.12 is: 45,548.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,294.80 : 46,000.84 = 32,967.12 : x
  2. Step 2: Convert to fraction form
    33,294.80/46,000.84 = 32,967.12/x
  3. Step 3: Cross multiply
    33,294.80x = 46,000.84 × 32,967.12
  4. Step 4: Simplify right side
    33,294.80x = 1,516,515,212.38
  5. Step 5: Solve for x
    x = 1,516,515,212.38/33,294.80
  6. Step 6: Final answer
    x = 45,548.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.