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Finding the Fourth Proportional to 38,232.50, 57,353.61 and 10,530.50

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Solution

The fourth proportional to 38,232.50, 57,353.61 and 10,530.50 is: 15,797.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,232.50 : 57,353.61 = 10,530.50 : x
  2. Step 2: Convert to fraction form
    38,232.50/57,353.61 = 10,530.50/x
  3. Step 3: Cross multiply
    38,232.50x = 57,353.61 × 10,530.50
  4. Step 4: Simplify right side
    38,232.50x = 603,962,190.11
  5. Step 5: Solve for x
    x = 603,962,190.11/38,232.50
  6. Step 6: Final answer
    x = 15,797.09

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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.