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Finding the Fourth Proportional to 47,704.50, 71,568 and 46,911.12

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Solution

The fourth proportional to 47,704.50, 71,568 and 46,911.12 is: 70,377.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,704.50 : 71,568 = 46,911.12 : x
  2. Step 2: Convert to fraction form
    47,704.50/71,568 = 46,911.12/x
  3. Step 3: Cross multiply
    47,704.50x = 71,568 × 46,911.12
  4. Step 4: Simplify right side
    47,704.50x = 3,357,335,036.16
  5. Step 5: Solve for x
    x = 3,357,335,036.16/47,704.50
  6. Step 6: Final answer
    x = 70,377.74

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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.