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Finding the Fourth Proportional to 34,731, 47,940.53 and 21,644.24

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Solution

The fourth proportional to 34,731, 47,940.53 and 21,644.24 is: 29,876.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,731 : 47,940.53 = 21,644.24 : x
  2. Step 2: Convert to fraction form
    34,731/47,940.53 = 21,644.24/x
  3. Step 3: Cross multiply
    34,731x = 47,940.53 × 21,644.24
  4. Step 4: Simplify right side
    34,731x = 1,037,635,989.12
  5. Step 5: Solve for x
    x = 1,037,635,989.12/34,731
  6. Step 6: Final answer
    x = 29,876.36

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1.5x scale

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.