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Finding the Fourth Proportional to 54,412.54, 75,088.25 and 30,212.25

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Solution

The fourth proportional to 54,412.54, 75,088.25 and 30,212.25 is: 41,692.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,412.54 : 75,088.25 = 30,212.25 : x
  2. Step 2: Convert to fraction form
    54,412.54/75,088.25 = 30,212.25/x
  3. Step 3: Cross multiply
    54,412.54x = 75,088.25 × 30,212.25
  4. Step 4: Simplify right side
    54,412.54x = 2,268,584,454.56
  5. Step 5: Solve for x
    x = 2,268,584,454.56/54,412.54
  6. Step 6: Final answer
    x = 41,692.31

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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.