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Finding the Fourth Proportional to 53,107.86, 73,288.34 and 29,233.92

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Solution

The fourth proportional to 53,107.86, 73,288.34 and 29,233.92 is: 40,342.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,107.86 : 73,288.34 = 29,233.92 : x
  2. Step 2: Convert to fraction form
    53,107.86/73,288.34 = 29,233.92/x
  3. Step 3: Cross multiply
    53,107.86x = 73,288.34 × 29,233.92
  4. Step 4: Simplify right side
    53,107.86x = 2,142,505,468.49
  5. Step 5: Solve for x
    x = 2,142,505,468.49/53,107.86
  6. Step 6: Final answer
    x = 40,342.53

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