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Finding the Fourth Proportional to 34,013.48, 51,008.06 and 11,821.48

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Solution

The fourth proportional to 34,013.48, 51,008.06 and 11,821.48 is: 17,727.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,013.48 : 51,008.06 = 11,821.48 : x
  2. Step 2: Convert to fraction form
    34,013.48/51,008.06 = 11,821.48/x
  3. Step 3: Cross multiply
    34,013.48x = 51,008.06 × 11,821.48
  4. Step 4: Simplify right side
    34,013.48x = 602,990,761.13
  5. Step 5: Solve for x
    x = 602,990,761.13/34,013.48
  6. Step 6: Final answer
    x = 17,727.99

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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.