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Finding the Fourth Proportional to 29,144.50, 40,219.41 and 15,896.50

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Solution

The fourth proportional to 29,144.50, 40,219.41 and 15,896.50 is: 21,937.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,144.50 : 40,219.41 = 15,896.50 : x
  2. Step 2: Convert to fraction form
    29,144.50/40,219.41 = 15,896.50/x
  3. Step 3: Cross multiply
    29,144.50x = 40,219.41 × 15,896.50
  4. Step 4: Simplify right side
    29,144.50x = 639,347,851.07
  5. Step 5: Solve for x
    x = 639,347,851.07/29,144.50
  6. Step 6: Final answer
    x = 21,937.17

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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.