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Finding the Fourth Proportional to 57,092.25, 78,786.21 and 31,598.63

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Solution

The fourth proportional to 57,092.25, 78,786.21 and 31,598.63 is: 43,605.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,092.25 : 78,786.21 = 31,598.63 : x
  2. Step 2: Convert to fraction form
    57,092.25/78,786.21 = 31,598.63/x
  3. Step 3: Cross multiply
    57,092.25x = 78,786.21 × 31,598.63
  4. Step 4: Simplify right side
    57,092.25x = 2,489,535,904.96
  5. Step 5: Solve for x
    x = 2,489,535,904.96/57,092.25
  6. Step 6: Final answer
    x = 43,605.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.