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Finding the Fourth Proportional to 60,783, 91,217.70 and 23,847

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Solution

The fourth proportional to 60,783, 91,217.70 and 23,847 is: 35,787.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,783 : 91,217.70 = 23,847 : x
  2. Step 2: Convert to fraction form
    60,783/91,217.70 = 23,847/x
  3. Step 3: Cross multiply
    60,783x = 91,217.70 × 23,847
  4. Step 4: Simplify right side
    60,783x = 2,175,268,491.90
  5. Step 5: Solve for x
    x = 2,175,268,491.90/60,783
  6. Step 6: Final answer
    x = 35,787.45

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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.