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Finding the Fourth Proportional to 54,875, 75,727.54 and 29,724.50

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Solution

The fourth proportional to 54,875, 75,727.54 and 29,724.50 is: 41,019.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,875 : 75,727.54 = 29,724.50 : x
  2. Step 2: Convert to fraction form
    54,875/75,727.54 = 29,724.50/x
  3. Step 3: Cross multiply
    54,875x = 75,727.54 × 29,724.50
  4. Step 4: Simplify right side
    54,875x = 2,250,963,262.73
  5. Step 5: Solve for x
    x = 2,250,963,262.73/54,875
  6. Step 6: Final answer
    x = 41,019.83

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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.