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Finding the Fourth Proportional to 38,366, 57,549.03 and 10,664

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Solution

The fourth proportional to 38,366, 57,549.03 and 10,664 is: 15,996.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,366 : 57,549.03 = 10,664 : x
  2. Step 2: Convert to fraction form
    38,366/57,549.03 = 10,664/x
  3. Step 3: Cross multiply
    38,366x = 57,549.03 × 10,664
  4. Step 4: Simplify right side
    38,366x = 613,702,855.92
  5. Step 5: Solve for x
    x = 613,702,855.92/38,366
  6. Step 6: Final answer
    x = 15,996.01

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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.