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Finding the Fourth Proportional to 31,509.57, 43,484.01 and 17,362.42

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Solution

The fourth proportional to 31,509.57, 43,484.01 and 17,362.42 is: 23,960.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,509.57 : 43,484.01 = 17,362.42 : x
  2. Step 2: Convert to fraction form
    31,509.57/43,484.01 = 17,362.42/x
  3. Step 3: Cross multiply
    31,509.57x = 43,484.01 × 17,362.42
  4. Step 4: Simplify right side
    31,509.57x = 754,987,644.90
  5. Step 5: Solve for x
    x = 754,987,644.90/31,509.57
  6. Step 6: Final answer
    x = 23,960.58

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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.