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Finding the Fourth Proportional to 47,531.48, 71,282.82 and 19,823

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Solution

The fourth proportional to 47,531.48, 71,282.82 and 19,823 is: 29,728.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,531.48 : 71,282.82 = 19,823 : x
  2. Step 2: Convert to fraction form
    47,531.48/71,282.82 = 19,823/x
  3. Step 3: Cross multiply
    47,531.48x = 71,282.82 × 19,823
  4. Step 4: Simplify right side
    47,531.48x = 1,413,039,340.86
  5. Step 5: Solve for x
    x = 1,413,039,340.86/47,531.48
  6. Step 6: Final answer
    x = 29,728.49

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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.