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Finding the Fourth Proportional to 34,068, 51,058.74 and 15,327.96

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Solution

The fourth proportional to 34,068, 51,058.74 and 15,327.96 is: 22,972.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,068 : 51,058.74 = 15,327.96 : x
  2. Step 2: Convert to fraction form
    34,068/51,058.74 = 15,327.96/x
  3. Step 3: Cross multiply
    34,068x = 51,058.74 × 15,327.96
  4. Step 4: Simplify right side
    34,068x = 782,626,324.37
  5. Step 5: Solve for x
    x = 782,626,324.37/34,068
  6. Step 6: Final answer
    x = 22,972.48

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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.