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Finding the Fourth Proportional to 31,602.92, 43,606.50 and 23,239.40

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Solution

The fourth proportional to 31,602.92, 43,606.50 and 23,239.40 is: 32,066.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,602.92 : 43,606.50 = 23,239.40 : x
  2. Step 2: Convert to fraction form
    31,602.92/43,606.50 = 23,239.40/x
  3. Step 3: Cross multiply
    31,602.92x = 43,606.50 × 23,239.40
  4. Step 4: Simplify right side
    31,602.92x = 1,013,388,896.10
  5. Step 5: Solve for x
    x = 1,013,388,896.10/31,602.92
  6. Step 6: Final answer
    x = 32,066.31

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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.