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Finding the Fourth Proportional to 31,182.76, 43,032.36 and 17,035.84

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Solution

The fourth proportional to 31,182.76, 43,032.36 and 17,035.84 is: 23,509.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,182.76 : 43,032.36 = 17,035.84 : x
  2. Step 2: Convert to fraction form
    31,182.76/43,032.36 = 17,035.84/x
  3. Step 3: Cross multiply
    31,182.76x = 43,032.36 × 17,035.84
  4. Step 4: Simplify right side
    31,182.76x = 733,092,399.78
  5. Step 5: Solve for x
    x = 733,092,399.78/31,182.76
  6. Step 6: Final answer
    x = 23,509.54

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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.