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Finding the Fourth Proportional to 31,447.82, 43,397.62 and 23,417.40

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Solution

The fourth proportional to 31,447.82, 43,397.62 and 23,417.40 is: 32,315.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,447.82 : 43,397.62 = 23,417.40 : x
  2. Step 2: Convert to fraction form
    31,447.82/43,397.62 = 23,417.40/x
  3. Step 3: Cross multiply
    31,447.82x = 43,397.62 × 23,417.40
  4. Step 4: Simplify right side
    31,447.82x = 1,016,259,662.51
  5. Step 5: Solve for x
    x = 1,016,259,662.51/31,447.82
  6. Step 6: Final answer
    x = 32,315.74

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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.