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Finding the Fourth Proportional to 37,781.84, 52,119.24 and 24,349.52

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Solution

The fourth proportional to 37,781.84, 52,119.24 and 24,349.52 is: 33,589.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,781.84 : 52,119.24 = 24,349.52 : x
  2. Step 2: Convert to fraction form
    37,781.84/52,119.24 = 24,349.52/x
  3. Step 3: Cross multiply
    37,781.84x = 52,119.24 × 24,349.52
  4. Step 4: Simplify right side
    37,781.84x = 1,269,078,476.76
  5. Step 5: Solve for x
    x = 1,269,078,476.76/37,781.84
  6. Step 6: Final answer
    x = 33,589.64

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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.