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Finding the Fourth Proportional to 37,614.78, 51,894.66 and 22,507.87

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Solution

The fourth proportional to 37,614.78, 51,894.66 and 22,507.87 is: 31,052.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,614.78 : 51,894.66 = 22,507.87 : x
  2. Step 2: Convert to fraction form
    37,614.78/51,894.66 = 22,507.87/x
  3. Step 3: Cross multiply
    37,614.78x = 51,894.66 × 22,507.87
  4. Step 4: Simplify right side
    37,614.78x = 1,168,038,260.97
  5. Step 5: Solve for x
    x = 1,168,038,260.97/37,614.78
  6. Step 6: Final answer
    x = 31,052.65

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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.