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Finding the Fourth Proportional to 84,192.52, 126,255.78 and 31,573.32

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Solution

The fourth proportional to 84,192.52, 126,255.78 and 31,573.32 is: 47,347.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,192.52 : 126,255.78 = 31,573.32 : x
  2. Step 2: Convert to fraction form
    84,192.52/126,255.78 = 31,573.32/x
  3. Step 3: Cross multiply
    84,192.52x = 126,255.78 × 31,573.32
  4. Step 4: Simplify right side
    84,192.52x = 3,986,314,143.79
  5. Step 5: Solve for x
    x = 3,986,314,143.79/84,192.52
  6. Step 6: Final answer
    x = 47,347.60

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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.