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Finding the Fourth Proportional to 34,456.28, 47,550.16 and 19,352.22

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Solution

The fourth proportional to 34,456.28, 47,550.16 and 19,352.22 is: 26,706.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,456.28 : 47,550.16 = 19,352.22 : x
  2. Step 2: Convert to fraction form
    34,456.28/47,550.16 = 19,352.22/x
  3. Step 3: Cross multiply
    34,456.28x = 47,550.16 × 19,352.22
  4. Step 4: Simplify right side
    34,456.28x = 920,201,157.36
  5. Step 5: Solve for x
    x = 920,201,157.36/34,456.28
  6. Step 6: Final answer
    x = 26,706.34

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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.