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Finding the Fourth Proportional to 47,661, 71,441.61 and 16,060.14

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Solution

The fourth proportional to 47,661, 71,441.61 and 16,060.14 is: 24,073.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,661 : 71,441.61 = 16,060.14 : x
  2. Step 2: Convert to fraction form
    47,661/71,441.61 = 16,060.14/x
  3. Step 3: Cross multiply
    47,661x = 71,441.61 × 16,060.14
  4. Step 4: Simplify right side
    47,661x = 1,147,362,258.43
  5. Step 5: Solve for x
    x = 1,147,362,258.43/47,661
  6. Step 6: Final answer
    x = 24,073.40

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Why These Related Problems?

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