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Finding the Fourth Proportional to 31,407.14, 43,344.52 and 21,357.88

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Solution

The fourth proportional to 31,407.14, 43,344.52 and 21,357.88 is: 29,475.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,407.14 : 43,344.52 = 21,357.88 : x
  2. Step 2: Convert to fraction form
    31,407.14/43,344.52 = 21,357.88/x
  3. Step 3: Cross multiply
    31,407.14x = 43,344.52 × 21,357.88
  4. Step 4: Simplify right side
    31,407.14x = 925,746,895.06
  5. Step 5: Solve for x
    x = 925,746,895.06/31,407.14
  6. Step 6: Final answer
    x = 29,475.68

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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.