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Finding the Fourth Proportional to 31,099.66, 46,656.78 and 12,380.84

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Solution

The fourth proportional to 31,099.66, 46,656.78 and 12,380.84 is: 18,574.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,099.66 : 46,656.78 = 12,380.84 : x
  2. Step 2: Convert to fraction form
    31,099.66/46,656.78 = 12,380.84/x
  3. Step 3: Cross multiply
    31,099.66x = 46,656.78 × 12,380.84
  4. Step 4: Simplify right side
    31,099.66x = 577,650,128.10
  5. Step 5: Solve for x
    x = 577,650,128.10/31,099.66
  6. Step 6: Final answer
    x = 18,574.16

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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.