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Finding the Fourth Proportional to 51,524, 77,257.56 and 15,975.48

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Solution

The fourth proportional to 51,524, 77,257.56 and 15,975.48 is: 23,954.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,524 : 77,257.56 = 15,975.48 : x
  2. Step 2: Convert to fraction form
    51,524/77,257.56 = 15,975.48/x
  3. Step 3: Cross multiply
    51,524x = 77,257.56 × 15,975.48
  4. Step 4: Simplify right side
    51,524x = 1,234,226,604.63
  5. Step 5: Solve for x
    x = 1,234,226,604.63/51,524
  6. Step 6: Final answer
    x = 23,954.40

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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.