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Finding the Fourth Proportional to 56,169.12, 84,253.44 and 14,616

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Solution

The fourth proportional to 56,169.12, 84,253.44 and 14,616 is: 21,923.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,169.12 : 84,253.44 = 14,616 : x
  2. Step 2: Convert to fraction form
    56,169.12/84,253.44 = 14,616/x
  3. Step 3: Cross multiply
    56,169.12x = 84,253.44 × 14,616
  4. Step 4: Simplify right side
    56,169.12x = 1,231,448,279.04
  5. Step 5: Solve for x
    x = 1,231,448,279.04/56,169.12
  6. Step 6: Final answer
    x = 21,923.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.