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Finding the Fourth Proportional to 37,167.24, 55,753.74 and 9,465

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Solution

The fourth proportional to 37,167.24, 55,753.74 and 9,465 is: 14,198.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,167.24 : 55,753.74 = 9,465 : x
  2. Step 2: Convert to fraction form
    37,167.24/55,753.74 = 9,465/x
  3. Step 3: Cross multiply
    37,167.24x = 55,753.74 × 9,465
  4. Step 4: Simplify right side
    37,167.24x = 527,709,149.10
  5. Step 5: Solve for x
    x = 527,709,149.10/37,167.24
  6. Step 6: Final answer
    x = 14,198.23

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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.