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Finding the Fourth Proportional to 54,807.29, 75,633.27 and 30,608

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Solution

The fourth proportional to 54,807.29, 75,633.27 and 30,608 is: 42,238.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,807.29 : 75,633.27 = 30,608 : x
  2. Step 2: Convert to fraction form
    54,807.29/75,633.27 = 30,608/x
  3. Step 3: Cross multiply
    54,807.29x = 75,633.27 × 30,608
  4. Step 4: Simplify right side
    54,807.29x = 2,314,983,128.16
  5. Step 5: Solve for x
    x = 2,314,983,128.16/54,807.29
  6. Step 6: Final answer
    x = 42,238.60

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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.