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Finding the Fourth Proportional to 34,807.28, 52,199.97 and 11,428.28

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Solution

The fourth proportional to 34,807.28, 52,199.97 and 11,428.28 is: 17,138.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,807.28 : 52,199.97 = 11,428.28 : x
  2. Step 2: Convert to fraction form
    34,807.28/52,199.97 = 11,428.28/x
  3. Step 3: Cross multiply
    34,807.28x = 52,199.97 × 11,428.28
  4. Step 4: Simplify right side
    34,807.28x = 596,555,873.15
  5. Step 5: Solve for x
    x = 596,555,873.15/34,807.28
  6. Step 6: Final answer
    x = 17,138.82

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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.