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Finding the Fourth Proportional to 51,334, 77,031.72 and 22,150

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Solution

The fourth proportional to 51,334, 77,031.72 and 22,150 is: 33,238.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,334 : 77,031.72 = 22,150 : x
  2. Step 2: Convert to fraction form
    51,334/77,031.72 = 22,150/x
  3. Step 3: Cross multiply
    51,334x = 77,031.72 × 22,150
  4. Step 4: Simplify right side
    51,334x = 1,706,252,598
  5. Step 5: Solve for x
    x = 1,706,252,598/51,334
  6. Step 6: Final answer
    x = 33,238.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.