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Finding the Fourth Proportional to 31,057.92, 46,594.16 and 8,871.60

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Solution

The fourth proportional to 31,057.92, 46,594.16 and 8,871.60 is: 13,309.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,057.92 : 46,594.16 = 8,871.60 : x
  2. Step 2: Convert to fraction form
    31,057.92/46,594.16 = 8,871.60/x
  3. Step 3: Cross multiply
    31,057.92x = 46,594.16 × 8,871.60
  4. Step 4: Simplify right side
    31,057.92x = 413,364,749.86
  5. Step 5: Solve for x
    x = 413,364,749.86/31,057.92
  6. Step 6: Final answer
    x = 13,309.48

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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.