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Finding the Fourth Proportional to 37,430, 56,154.24 and 11,134.64

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Solution

The fourth proportional to 37,430, 56,154.24 and 11,134.64 is: 16,704.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,430 : 56,154.24 = 11,134.64 : x
  2. Step 2: Convert to fraction form
    37,430/56,154.24 = 11,134.64/x
  3. Step 3: Cross multiply
    37,430x = 56,154.24 × 11,134.64
  4. Step 4: Simplify right side
    37,430x = 625,257,246.87
  5. Step 5: Solve for x
    x = 625,257,246.87/37,430
  6. Step 6: Final answer
    x = 16,704.71

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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.