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Finding the Fourth Proportional to 34,223.50, 47,223.75 and 19,114.23

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Solution

The fourth proportional to 34,223.50, 47,223.75 and 19,114.23 is: 26,375.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,223.50 : 47,223.75 = 19,114.23 : x
  2. Step 2: Convert to fraction form
    34,223.50/47,223.75 = 19,114.23/x
  3. Step 3: Cross multiply
    34,223.50x = 47,223.75 × 19,114.23
  4. Step 4: Simplify right side
    34,223.50x = 902,645,618.96
  5. Step 5: Solve for x
    x = 902,645,618.96/34,223.50
  6. Step 6: Final answer
    x = 26,375.02

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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.