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Finding the Fourth Proportional to 37,954.71, 52,366.50 and 24,533.82

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Solution

The fourth proportional to 37,954.71, 52,366.50 and 24,533.82 is: 33,849.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,954.71 : 52,366.50 = 24,533.82 : x
  2. Step 2: Convert to fraction form
    37,954.71/52,366.50 = 24,533.82/x
  3. Step 3: Cross multiply
    37,954.71x = 52,366.50 × 24,533.82
  4. Step 4: Simplify right side
    37,954.71x = 1,284,750,285.03
  5. Step 5: Solve for x
    x = 1,284,750,285.03/37,954.71
  6. Step 6: Final answer
    x = 33,849.56

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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.