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Finding the Fourth Proportional to 37,068.50, 55,463.24 and 25,996.80

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Solution

The fourth proportional to 37,068.50, 55,463.24 and 25,996.80 is: 38,897.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,068.50 : 55,463.24 = 25,996.80 : x
  2. Step 2: Convert to fraction form
    37,068.50/55,463.24 = 25,996.80/x
  3. Step 3: Cross multiply
    37,068.50x = 55,463.24 × 25,996.80
  4. Step 4: Simplify right side
    37,068.50x = 1,441,866,757.63
  5. Step 5: Solve for x
    x = 1,441,866,757.63/37,068.50
  6. Step 6: Final answer
    x = 38,897.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.