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Finding the Fourth Proportional to 54,585.58, 75,324.02 and 30,707.64

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Solution

The fourth proportional to 54,585.58, 75,324.02 and 30,707.64 is: 42,374.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,585.58 : 75,324.02 = 30,707.64 : x
  2. Step 2: Convert to fraction form
    54,585.58/75,324.02 = 30,707.64/x
  3. Step 3: Cross multiply
    54,585.58x = 75,324.02 × 30,707.64
  4. Step 4: Simplify right side
    54,585.58x = 2,313,022,889.51
  5. Step 5: Solve for x
    x = 2,313,022,889.51/54,585.58
  6. Step 6: Final answer
    x = 42,374.25

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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.