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Finding the Fourth Proportional to 54,690.96, 75,480.72 and 30,822.24

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Solution

The fourth proportional to 54,690.96, 75,480.72 and 30,822.24 is: 42,538.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,690.96 : 75,480.72 = 30,822.24 : x
  2. Step 2: Convert to fraction form
    54,690.96/75,480.72 = 30,822.24/x
  3. Step 3: Cross multiply
    54,690.96x = 75,480.72 × 30,822.24
  4. Step 4: Simplify right side
    54,690.96x = 2,326,484,867.21
  5. Step 5: Solve for x
    x = 2,326,484,867.21/54,690.96
  6. Step 6: Final answer
    x = 42,538.75

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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.