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Finding the Fourth Proportional to 51,997.95, 77,972.22 and 25,671.94

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Solution

The fourth proportional to 51,997.95, 77,972.22 and 25,671.94 is: 38,495.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,997.95 : 77,972.22 = 25,671.94 : x
  2. Step 2: Convert to fraction form
    51,997.95/77,972.22 = 25,671.94/x
  3. Step 3: Cross multiply
    51,997.95x = 77,972.22 × 25,671.94
  4. Step 4: Simplify right side
    51,997.95x = 2,001,697,958.58
  5. Step 5: Solve for x
    x = 2,001,697,958.58/51,997.95
  6. Step 6: Final answer
    x = 38,495.71

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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.