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Finding the Fourth Proportional to 54,713.04, 75,506.10 and 30,839.21

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Solution

The fourth proportional to 54,713.04, 75,506.10 and 30,839.21 is: 42,559.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,713.04 : 75,506.10 = 30,839.21 : x
  2. Step 2: Convert to fraction form
    54,713.04/75,506.10 = 30,839.21/x
  3. Step 3: Cross multiply
    54,713.04x = 75,506.10 × 30,839.21
  4. Step 4: Simplify right side
    54,713.04x = 2,328,548,138.53
  5. Step 5: Solve for x
    x = 2,328,548,138.53/54,713.04
  6. Step 6: Final answer
    x = 42,559.29

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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.