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Finding the Fourth Proportional to 54,403.62, 75,078.36 and 30,532.20

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Solution

The fourth proportional to 54,403.62, 75,078.36 and 30,532.20 is: 42,135.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,403.62 : 75,078.36 = 30,532.20 : x
  2. Step 2: Convert to fraction form
    54,403.62/75,078.36 = 30,532.20/x
  3. Step 3: Cross multiply
    54,403.62x = 75,078.36 × 30,532.20
  4. Step 4: Simplify right side
    54,403.62x = 2,292,307,503.19
  5. Step 5: Solve for x
    x = 2,292,307,503.19/54,403.62
  6. Step 6: Final answer
    x = 42,135.20

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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.