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Finding the Fourth Proportional to 31,465.14, 43,422 and 18,037.20

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Solution

The fourth proportional to 31,465.14, 43,422 and 18,037.20 is: 24,891.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,465.14 : 43,422 = 18,037.20 : x
  2. Step 2: Convert to fraction form
    31,465.14/43,422 = 18,037.20/x
  3. Step 3: Cross multiply
    31,465.14x = 43,422 × 18,037.20
  4. Step 4: Simplify right side
    31,465.14x = 783,211,298.40
  5. Step 5: Solve for x
    x = 783,211,298.40/31,465.14
  6. Step 6: Final answer
    x = 24,891.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.