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Finding the Fourth Proportional to 47,249.25, 70,884.81 and 16,084.50

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Solution

The fourth proportional to 47,249.25, 70,884.81 and 16,084.50 is: 24,130.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,249.25 : 70,884.81 = 16,084.50 : x
  2. Step 2: Convert to fraction form
    47,249.25/70,884.81 = 16,084.50/x
  3. Step 3: Cross multiply
    47,249.25x = 70,884.81 × 16,084.50
  4. Step 4: Simplify right side
    47,249.25x = 1,140,146,726.45
  5. Step 5: Solve for x
    x = 1,140,146,726.45/47,249.25
  6. Step 6: Final answer
    x = 24,130.47

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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.