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Finding the Fourth Proportional to 37,698.24, 52,019.64 and 21,787.80

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Solution

The fourth proportional to 37,698.24, 52,019.64 and 21,787.80 is: 30,064.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,698.24 : 52,019.64 = 21,787.80 : x
  2. Step 2: Convert to fraction form
    37,698.24/52,019.64 = 21,787.80/x
  3. Step 3: Cross multiply
    37,698.24x = 52,019.64 × 21,787.80
  4. Step 4: Simplify right side
    37,698.24x = 1,133,393,512.39
  5. Step 5: Solve for x
    x = 1,133,393,512.39/37,698.24
  6. Step 6: Final answer
    x = 30,064.89

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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.