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Finding the Fourth Proportional to 38,396.60, 57,591 and 10,313.00

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Solution

The fourth proportional to 38,396.60, 57,591 and 10,313.00 is: 15,468.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,396.60 : 57,591 = 10,313.00 : x
  2. Step 2: Convert to fraction form
    38,396.60/57,591 = 10,313.00/x
  3. Step 3: Cross multiply
    38,396.60x = 57,591 × 10,313.00
  4. Step 4: Simplify right side
    38,396.60x = 593,935,695.05
  5. Step 5: Solve for x
    x = 593,935,695.05/38,396.60
  6. Step 6: Final answer
    x = 15,468.45

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Why These Related Problems?

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