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Finding the Fourth Proportional to 68,784, 94,923.36 and 38,976

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Solution

The fourth proportional to 68,784, 94,923.36 and 38,976 is: 53,787.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,784 : 94,923.36 = 38,976 : x
  2. Step 2: Convert to fraction form
    68,784/94,923.36 = 38,976/x
  3. Step 3: Cross multiply
    68,784x = 94,923.36 × 38,976
  4. Step 4: Simplify right side
    68,784x = 3,699,732,879.36
  5. Step 5: Solve for x
    x = 3,699,732,879.36/68,784
  6. Step 6: Final answer
    x = 53,787.70

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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.