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Finding the Fourth Proportional to 57,273.30, 85,912.38 and 17,831.16

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Solution

The fourth proportional to 57,273.30, 85,912.38 and 17,831.16 is: 26,747.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,273.30 : 85,912.38 = 17,831.16 : x
  2. Step 2: Convert to fraction form
    57,273.30/85,912.38 = 17,831.16/x
  3. Step 3: Cross multiply
    57,273.30x = 85,912.38 × 17,831.16
  4. Step 4: Simplify right side
    57,273.30x = 1,531,917,393.76
  5. Step 5: Solve for x
    x = 1,531,917,393.76/57,273.30
  6. Step 6: Final answer
    x = 26,747.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.