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Finding the Fourth Proportional to 34,168.34, 51,252.84 and 11,982.26

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Solution

The fourth proportional to 34,168.34, 51,252.84 and 11,982.26 is: 17,973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,168.34 : 51,252.84 = 11,982.26 : x
  2. Step 2: Convert to fraction form
    34,168.34/51,252.84 = 11,982.26/x
  3. Step 3: Cross multiply
    34,168.34x = 51,252.84 × 11,982.26
  4. Step 4: Simplify right side
    34,168.34x = 614,124,598.35
  5. Step 5: Solve for x
    x = 614,124,598.35/34,168.34
  6. Step 6: Final answer
    x = 17,973.50

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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.