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Finding the Fourth Proportional to 114,833, 172,252.72 and 31,727

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Solution

The fourth proportional to 114,833, 172,252.72 and 31,727 is: 47,591.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,833 : 172,252.72 = 31,727 : x
  2. Step 2: Convert to fraction form
    114,833/172,252.72 = 31,727/x
  3. Step 3: Cross multiply
    114,833x = 172,252.72 × 31,727
  4. Step 4: Simplify right side
    114,833x = 5,465,062,047.44
  5. Step 5: Solve for x
    x = 5,465,062,047.44/114,833
  6. Step 6: Final answer
    x = 47,591.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.