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Finding the Fourth Proportional to 31,214.16, 43,069.68 and 18,464.40

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Solution

The fourth proportional to 31,214.16, 43,069.68 and 18,464.40 is: 25,477.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,214.16 : 43,069.68 = 18,464.40 : x
  2. Step 2: Convert to fraction form
    31,214.16/43,069.68 = 18,464.40/x
  3. Step 3: Cross multiply
    31,214.16x = 43,069.68 × 18,464.40
  4. Step 4: Simplify right side
    31,214.16x = 795,255,799.39
  5. Step 5: Solve for x
    x = 795,255,799.39/31,214.16
  6. Step 6: Final answer
    x = 25,477.41

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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.