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Finding the Fourth Proportional to 38,532.02, 57,797.76 and 10,830.02

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Solution

The fourth proportional to 38,532.02, 57,797.76 and 10,830.02 is: 16,244.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,532.02 : 57,797.76 = 10,830.02 : x
  2. Step 2: Convert to fraction form
    38,532.02/57,797.76 = 10,830.02/x
  3. Step 3: Cross multiply
    38,532.02x = 57,797.76 × 10,830.02
  4. Step 4: Simplify right side
    38,532.02x = 625,950,896.76
  5. Step 5: Solve for x
    x = 625,950,896.76/38,532.02
  6. Step 6: Final answer
    x = 16,244.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.