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Finding the Fourth Proportional to 30,633.56, 42,291.42 and 24,568.28

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Solution

The fourth proportional to 30,633.56, 42,291.42 and 24,568.28 is: 33,917.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,633.56 : 42,291.42 = 24,568.28 : x
  2. Step 2: Convert to fraction form
    30,633.56/42,291.42 = 24,568.28/x
  3. Step 3: Cross multiply
    30,633.56x = 42,291.42 × 24,568.28
  4. Step 4: Simplify right side
    30,633.56x = 1,039,027,448.16
  5. Step 5: Solve for x
    x = 1,039,027,448.16/30,633.56
  6. Step 6: Final answer
    x = 33,917.95

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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.