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Finding the Fourth Proportional to 31,609.71, 43,622.28 and 17,463.47

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Solution

The fourth proportional to 31,609.71, 43,622.28 and 17,463.47 is: 24,100.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,609.71 : 43,622.28 = 17,463.47 : x
  2. Step 2: Convert to fraction form
    31,609.71/43,622.28 = 17,463.47/x
  3. Step 3: Cross multiply
    31,609.71x = 43,622.28 × 17,463.47
  4. Step 4: Simplify right side
    31,609.71x = 761,796,160.00
  5. Step 5: Solve for x
    x = 761,796,160.00/31,609.71
  6. Step 6: Final answer
    x = 24,100.07

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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.