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Finding the Fourth Proportional to 53,292, 73,550.25 and 30,936

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Solution

The fourth proportional to 53,292, 73,550.25 and 30,936 is: 42,695.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,292 : 73,550.25 = 30,936 : x
  2. Step 2: Convert to fraction form
    53,292/73,550.25 = 30,936/x
  3. Step 3: Cross multiply
    53,292x = 73,550.25 × 30,936
  4. Step 4: Simplify right side
    53,292x = 2,275,350,534
  5. Step 5: Solve for x
    x = 2,275,350,534/53,292
  6. Step 6: Final answer
    x = 42,695.91

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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.