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Finding the Fourth Proportional to 47,494.54, 71,249.10 and 16,322.50

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Solution

The fourth proportional to 47,494.54, 71,249.10 and 16,322.50 is: 24,486.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,494.54 : 71,249.10 = 16,322.50 : x
  2. Step 2: Convert to fraction form
    47,494.54/71,249.10 = 16,322.50/x
  3. Step 3: Cross multiply
    47,494.54x = 71,249.10 × 16,322.50
  4. Step 4: Simplify right side
    47,494.54x = 1,162,963,434.75
  5. Step 5: Solve for x
    x = 1,162,963,434.75/47,494.54
  6. Step 6: Final answer
    x = 24,486.26

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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.