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Finding the Fourth Proportional to 31,255.86, 46,882.16 and 7,882.50

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Solution

The fourth proportional to 31,255.86, 46,882.16 and 7,882.50 is: 11,823.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,255.86 : 46,882.16 = 7,882.50 : x
  2. Step 2: Convert to fraction form
    31,255.86/46,882.16 = 7,882.50/x
  3. Step 3: Cross multiply
    31,255.86x = 46,882.16 × 7,882.50
  4. Step 4: Simplify right side
    31,255.86x = 369,548,626.20
  5. Step 5: Solve for x
    x = 369,548,626.20/31,255.86
  6. Step 6: Final answer
    x = 11,823.34

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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.