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Finding the Fourth Proportional to 29,713.50, 41,004.90 and 17,138.52

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Solution

The fourth proportional to 29,713.50, 41,004.90 and 17,138.52 is: 23,651.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,713.50 : 41,004.90 = 17,138.52 : x
  2. Step 2: Convert to fraction form
    29,713.50/41,004.90 = 17,138.52/x
  3. Step 3: Cross multiply
    29,713.50x = 41,004.90 × 17,138.52
  4. Step 4: Simplify right side
    29,713.50x = 702,763,298.75
  5. Step 5: Solve for x
    x = 702,763,298.75/29,713.50
  6. Step 6: Final answer
    x = 23,651.31

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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.