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Finding the Fourth Proportional to 37,477, 51,658.11 and 25,373.62

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Solution

The fourth proportional to 37,477, 51,658.11 and 25,373.62 is: 34,974.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,477 : 51,658.11 = 25,373.62 : x
  2. Step 2: Convert to fraction form
    37,477/51,658.11 = 25,373.62/x
  3. Step 3: Cross multiply
    37,477x = 51,658.11 × 25,373.62
  4. Step 4: Simplify right side
    37,477x = 1,310,753,253.06
  5. Step 5: Solve for x
    x = 1,310,753,253.06/37,477
  6. Step 6: Final answer
    x = 34,974.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.