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Finding the Fourth Proportional to 47,846.80, 71,776.07 and 16,262.07

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Solution

The fourth proportional to 47,846.80, 71,776.07 and 16,262.07 is: 24,395.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,846.80 : 71,776.07 = 16,262.07 : x
  2. Step 2: Convert to fraction form
    47,846.80/71,776.07 = 16,262.07/x
  3. Step 3: Cross multiply
    47,846.80x = 71,776.07 × 16,262.07
  4. Step 4: Simplify right side
    47,846.80x = 1,167,227,276.65
  5. Step 5: Solve for x
    x = 1,167,227,276.65/47,846.80
  6. Step 6: Final answer
    x = 24,395.10

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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.