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Finding the Fourth Proportional to 54,717, 75,509.46 and 29,566.50

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Solution

The fourth proportional to 54,717, 75,509.46 and 29,566.50 is: 40,801.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,717 : 75,509.46 = 29,566.50 : x
  2. Step 2: Convert to fraction form
    54,717/75,509.46 = 29,566.50/x
  3. Step 3: Cross multiply
    54,717x = 75,509.46 × 29,566.50
  4. Step 4: Simplify right side
    54,717x = 2,232,550,449.09
  5. Step 5: Solve for x
    x = 2,232,550,449.09/54,717
  6. Step 6: Final answer
    x = 40,801.77

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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.