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Finding the Fourth Proportional to 31,263.52, 46,895.28 and 9,375.52

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Solution

The fourth proportional to 31,263.52, 46,895.28 and 9,375.52 is: 14,063.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,263.52 : 46,895.28 = 9,375.52 : x
  2. Step 2: Convert to fraction form
    31,263.52/46,895.28 = 9,375.52/x
  3. Step 3: Cross multiply
    31,263.52x = 46,895.28 × 9,375.52
  4. Step 4: Simplify right side
    31,263.52x = 439,667,635.55
  5. Step 5: Solve for x
    x = 439,667,635.55/31,263.52
  6. Step 6: Final answer
    x = 14,063.28

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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.