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Finding the Fourth Proportional to 85,223.07, 127,816.25 and 31,912.92

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Solution

The fourth proportional to 85,223.07, 127,816.25 and 31,912.92 is: 47,862.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,223.07 : 127,816.25 = 31,912.92 : x
  2. Step 2: Convert to fraction form
    85,223.07/127,816.25 = 31,912.92/x
  3. Step 3: Cross multiply
    85,223.07x = 127,816.25 × 31,912.92
  4. Step 4: Simplify right side
    85,223.07x = 4,078,989,601.39
  5. Step 5: Solve for x
    x = 4,078,989,601.39/85,223.07
  6. Step 6: Final answer
    x = 47,862.50

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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.