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Finding the Fourth Proportional to 60,782.10, 83,787.39 and 47,329.62

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Solution

The fourth proportional to 60,782.10, 83,787.39 and 47,329.62 is: 65,243.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,782.10 : 83,787.39 = 47,329.62 : x
  2. Step 2: Convert to fraction form
    60,782.10/83,787.39 = 47,329.62/x
  3. Step 3: Cross multiply
    60,782.10x = 83,787.39 × 47,329.62
  4. Step 4: Simplify right side
    60,782.10x = 3,965,625,329.49
  5. Step 5: Solve for x
    x = 3,965,625,329.49/60,782.10
  6. Step 6: Final answer
    x = 65,243.31

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Why These Related Problems?

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