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Finding the Fourth Proportional to 37,814.48, 52,178.28 and 21,900.48

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Solution

The fourth proportional to 37,814.48, 52,178.28 and 21,900.48 is: 30,219.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,814.48 : 52,178.28 = 21,900.48 : x
  2. Step 2: Convert to fraction form
    37,814.48/52,178.28 = 21,900.48/x
  3. Step 3: Cross multiply
    37,814.48x = 52,178.28 × 21,900.48
  4. Step 4: Simplify right side
    37,814.48x = 1,142,729,377.57
  5. Step 5: Solve for x
    x = 1,142,729,377.57/37,814.48
  6. Step 6: Final answer
    x = 30,219.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.