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Finding the Fourth Proportional to 34,008.16, 51,011.82 and 11,821.12

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Solution

The fourth proportional to 34,008.16, 51,011.82 and 11,821.12 is: 17,731.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,008.16 : 51,011.82 = 11,821.12 : x
  2. Step 2: Convert to fraction form
    34,008.16/51,011.82 = 11,821.12/x
  3. Step 3: Cross multiply
    34,008.16x = 51,011.82 × 11,821.12
  4. Step 4: Simplify right side
    34,008.16x = 603,016,845.64
  5. Step 5: Solve for x
    x = 603,016,845.64/34,008.16
  6. Step 6: Final answer
    x = 17,731.53

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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.