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Finding the Fourth Proportional to 31,241.52, 46,861.65 and 7,867.32

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Solution

The fourth proportional to 31,241.52, 46,861.65 and 7,867.32 is: 11,800.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,241.52 : 46,861.65 = 7,867.32 : x
  2. Step 2: Convert to fraction form
    31,241.52/46,861.65 = 7,867.32/x
  3. Step 3: Cross multiply
    31,241.52x = 46,861.65 × 7,867.32
  4. Step 4: Simplify right side
    31,241.52x = 368,675,596.28
  5. Step 5: Solve for x
    x = 368,675,596.28/31,241.52
  6. Step 6: Final answer
    x = 11,800.82

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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.