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Finding the Fourth Proportional to 54,807.84, 75,636 and 30,934.56

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Solution

The fourth proportional to 54,807.84, 75,636 and 30,934.56 is: 42,690.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,807.84 : 75,636 = 30,934.56 : x
  2. Step 2: Convert to fraction form
    54,807.84/75,636 = 30,934.56/x
  3. Step 3: Cross multiply
    54,807.84x = 75,636 × 30,934.56
  4. Step 4: Simplify right side
    54,807.84x = 2,339,766,380.16
  5. Step 5: Solve for x
    x = 2,339,766,380.16/54,807.84
  6. Step 6: Final answer
    x = 42,690.36

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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.