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Finding the Fourth Proportional to 37,533.76, 51,772.17 and 24,083.71

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Solution

The fourth proportional to 37,533.76, 51,772.17 and 24,083.71 is: 33,219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,533.76 : 51,772.17 = 24,083.71 : x
  2. Step 2: Convert to fraction form
    37,533.76/51,772.17 = 24,083.71/x
  3. Step 3: Cross multiply
    37,533.76x = 51,772.17 × 24,083.71
  4. Step 4: Simplify right side
    37,533.76x = 1,246,865,928.35
  5. Step 5: Solve for x
    x = 1,246,865,928.35/37,533.76
  6. Step 6: Final answer
    x = 33,219.85

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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.