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Finding the Fourth Proportional to 37,178.42, 51,283.68 and 22,061.12

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Solution

The fourth proportional to 37,178.42, 51,283.68 and 22,061.12 is: 30,430.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,178.42 : 51,283.68 = 22,061.12 : x
  2. Step 2: Convert to fraction form
    37,178.42/51,283.68 = 22,061.12/x
  3. Step 3: Cross multiply
    37,178.42x = 51,283.68 × 22,061.12
  4. Step 4: Simplify right side
    37,178.42x = 1,131,375,418.52
  5. Step 5: Solve for x
    x = 1,131,375,418.52/37,178.42
  6. Step 6: Final answer
    x = 30,430.97

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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.