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Finding the Fourth Proportional to 54,557.48, 75,284.00 and 30,683.64

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Solution

The fourth proportional to 54,557.48, 75,284.00 and 30,683.64 is: 42,340.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,557.48 : 75,284.00 = 30,683.64 : x
  2. Step 2: Convert to fraction form
    54,557.48/75,284.00 = 30,683.64/x
  3. Step 3: Cross multiply
    54,557.48x = 75,284.00 × 30,683.64
  4. Step 4: Simplify right side
    54,557.48x = 2,309,987,000.34
  5. Step 5: Solve for x
    x = 2,309,987,000.34/54,557.48
  6. Step 6: Final answer
    x = 42,340.43

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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.