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Finding the Fourth Proportional to 31,507.14, 43,495.92 and 21,351.82

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Solution

The fourth proportional to 31,507.14, 43,495.92 and 21,351.82 is: 29,476.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,507.14 : 43,495.92 = 21,351.82 : x
  2. Step 2: Convert to fraction form
    31,507.14/43,495.92 = 21,351.82/x
  3. Step 3: Cross multiply
    31,507.14x = 43,495.92 × 21,351.82
  4. Step 4: Simplify right side
    31,507.14x = 928,717,054.57
  5. Step 5: Solve for x
    x = 928,717,054.57/31,507.14
  6. Step 6: Final answer
    x = 29,476.40

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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.