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Finding the Fourth Proportional to 42,772.50, 59,051.97 and 27,894.42

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Solution

The fourth proportional to 42,772.50, 59,051.97 and 27,894.42 is: 38,511.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,772.50 : 59,051.97 = 27,894.42 : x
  2. Step 2: Convert to fraction form
    42,772.50/59,051.97 = 27,894.42/x
  3. Step 3: Cross multiply
    42,772.50x = 59,051.97 × 27,894.42
  4. Step 4: Simplify right side
    42,772.50x = 1,647,220,453.01
  5. Step 5: Solve for x
    x = 1,647,220,453.01/42,772.50
  6. Step 6: Final answer
    x = 38,511.20

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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.