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Finding the Fourth Proportional to 33,404.64, 50,116.80 and 10,034.64

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Solution

The fourth proportional to 33,404.64, 50,116.80 and 10,034.64 is: 15,054.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,404.64 : 50,116.80 = 10,034.64 : x
  2. Step 2: Convert to fraction form
    33,404.64/50,116.80 = 10,034.64/x
  3. Step 3: Cross multiply
    33,404.64x = 50,116.80 × 10,034.64
  4. Step 4: Simplify right side
    33,404.64x = 502,904,045.95
  5. Step 5: Solve for x
    x = 502,904,045.95/33,404.64
  6. Step 6: Final answer
    x = 15,054.92

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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.