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Finding the Fourth Proportional to 75,846.88, 113,792.16 and 23,264.08

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Solution

The fourth proportional to 75,846.88, 113,792.16 and 23,264.08 is: 34,902.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,846.88 : 113,792.16 = 23,264.08 : x
  2. Step 2: Convert to fraction form
    75,846.88/113,792.16 = 23,264.08/x
  3. Step 3: Cross multiply
    75,846.88x = 113,792.16 × 23,264.08
  4. Step 4: Simplify right side
    75,846.88x = 2,647,269,913.61
  5. Step 5: Solve for x
    x = 2,647,269,913.61/75,846.88
  6. Step 6: Final answer
    x = 34,902.82

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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.