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Finding the Fourth Proportional to 31,500.75, 47,256 and 11,782.11

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Solution

The fourth proportional to 31,500.75, 47,256 and 11,782.11 is: 17,674.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,500.75 : 47,256 = 11,782.11 : x
  2. Step 2: Convert to fraction form
    31,500.75/47,256 = 11,782.11/x
  3. Step 3: Cross multiply
    31,500.75x = 47,256 × 11,782.11
  4. Step 4: Simplify right side
    31,500.75x = 556,775,390.16
  5. Step 5: Solve for x
    x = 556,775,390.16/31,500.75
  6. Step 6: Final answer
    x = 17,674.99

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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.