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Finding the Fourth Proportional to 51,388, 70,921.20 and 29,033.44

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Solution

The fourth proportional to 51,388, 70,921.20 and 29,033.44 is: 40,069.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,388 : 70,921.20 = 29,033.44 : x
  2. Step 2: Convert to fraction form
    51,388/70,921.20 = 29,033.44/x
  3. Step 3: Cross multiply
    51,388x = 70,921.20 × 29,033.44
  4. Step 4: Simplify right side
    51,388x = 2,059,086,404.93
  5. Step 5: Solve for x
    x = 2,059,086,404.93/51,388
  6. Step 6: Final answer
    x = 40,069.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.