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Finding the Fourth Proportional to 34,782.50, 47,964.49 and 29,763.34

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Solution

The fourth proportional to 34,782.50, 47,964.49 and 29,763.34 is: 41,043.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,782.50 : 47,964.49 = 29,763.34 : x
  2. Step 2: Convert to fraction form
    34,782.50/47,964.49 = 29,763.34/x
  3. Step 3: Cross multiply
    34,782.50x = 47,964.49 × 29,763.34
  4. Step 4: Simplify right side
    34,782.50x = 1,427,583,229.48
  5. Step 5: Solve for x
    x = 1,427,583,229.48/34,782.50
  6. Step 6: Final answer
    x = 41,043.14

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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.