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Finding the Fourth Proportional to 33,995.20, 51,002.02 and 10,301.78

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Solution

The fourth proportional to 33,995.20, 51,002.02 and 10,301.78 is: 15,455.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,995.20 : 51,002.02 = 10,301.78 : x
  2. Step 2: Convert to fraction form
    33,995.20/51,002.02 = 10,301.78/x
  3. Step 3: Cross multiply
    33,995.20x = 51,002.02 × 10,301.78
  4. Step 4: Simplify right side
    33,995.20x = 525,411,691.35
  5. Step 5: Solve for x
    x = 525,411,691.35/33,995.20
  6. Step 6: Final answer
    x = 15,455.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.