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Finding the Fourth Proportional to 31,353.88, 47,020.74 and 10,288.21

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Solution

The fourth proportional to 31,353.88, 47,020.74 and 10,288.21 is: 15,429.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,353.88 : 47,020.74 = 10,288.21 : x
  2. Step 2: Convert to fraction form
    31,353.88/47,020.74 = 10,288.21/x
  3. Step 3: Cross multiply
    31,353.88x = 47,020.74 × 10,288.21
  4. Step 4: Simplify right side
    31,353.88x = 483,759,247.48
  5. Step 5: Solve for x
    x = 483,759,247.48/31,353.88
  6. Step 6: Final answer
    x = 15,429.01

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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.