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Finding the Fourth Proportional to 31,747.83, 43,809.72 and 17,405.37

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Solution

The fourth proportional to 31,747.83, 43,809.72 and 17,405.37 is: 24,018.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,747.83 : 43,809.72 = 17,405.37 : x
  2. Step 2: Convert to fraction form
    31,747.83/43,809.72 = 17,405.37/x
  3. Step 3: Cross multiply
    31,747.83x = 43,809.72 × 17,405.37
  4. Step 4: Simplify right side
    31,747.83x = 762,524,386.20
  5. Step 5: Solve for x
    x = 762,524,386.20/31,747.83
  6. Step 6: Final answer
    x = 24,018.16

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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.