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Finding the Fourth Proportional to 55,602.43, 83,323.79 and 31,605.80

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Solution

The fourth proportional to 55,602.43, 83,323.79 and 31,605.80 is: 47,363.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,602.43 : 83,323.79 = 31,605.80 : x
  2. Step 2: Convert to fraction form
    55,602.43/83,323.79 = 31,605.80/x
  3. Step 3: Cross multiply
    55,602.43x = 83,323.79 × 31,605.80
  4. Step 4: Simplify right side
    55,602.43x = 2,633,515,092.26
  5. Step 5: Solve for x
    x = 2,633,515,092.26/55,602.43
  6. Step 6: Final answer
    x = 47,363.31

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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.