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Finding the Fourth Proportional to 31,282.60, 46,924.22 and 12,309.16

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Solution

The fourth proportional to 31,282.60, 46,924.22 and 12,309.16 is: 18,463.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,282.60 : 46,924.22 = 12,309.16 : x
  2. Step 2: Convert to fraction form
    31,282.60/46,924.22 = 12,309.16/x
  3. Step 3: Cross multiply
    31,282.60x = 46,924.22 × 12,309.16
  4. Step 4: Simplify right side
    31,282.60x = 577,597,731.86
  5. Step 5: Solve for x
    x = 577,597,731.86/31,282.60
  6. Step 6: Final answer
    x = 18,463.87

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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.