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Finding the Fourth Proportional to 34,456.23, 47,505.99 and 22,500.63

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Solution

The fourth proportional to 34,456.23, 47,505.99 and 22,500.63 is: 31,022.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,456.23 : 47,505.99 = 22,500.63 : x
  2. Step 2: Convert to fraction form
    34,456.23/47,505.99 = 22,500.63/x
  3. Step 3: Cross multiply
    34,456.23x = 47,505.99 × 22,500.63
  4. Step 4: Simplify right side
    34,456.23x = 1,068,914,703.77
  5. Step 5: Solve for x
    x = 1,068,914,703.77/34,456.23
  6. Step 6: Final answer
    x = 31,022.39

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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.