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Finding the Fourth Proportional to 38,203.77, 52,724.07 and 22,284.84

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Solution

The fourth proportional to 38,203.77, 52,724.07 and 22,284.84 is: 30,754.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,203.77 : 52,724.07 = 22,284.84 : x
  2. Step 2: Convert to fraction form
    38,203.77/52,724.07 = 22,284.84/x
  3. Step 3: Cross multiply
    38,203.77x = 52,724.07 × 22,284.84
  4. Step 4: Simplify right side
    38,203.77x = 1,174,947,464.10
  5. Step 5: Solve for x
    x = 1,174,947,464.10/38,203.77
  6. Step 6: Final answer
    x = 30,754.75

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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.