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Finding the Fourth Proportional to 37,454, 56,190.24 and 11,158.64

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Solution

The fourth proportional to 37,454, 56,190.24 and 11,158.64 is: 16,740.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,454 : 56,190.24 = 11,158.64 : x
  2. Step 2: Convert to fraction form
    37,454/56,190.24 = 11,158.64/x
  3. Step 3: Cross multiply
    37,454x = 56,190.24 × 11,158.64
  4. Step 4: Simplify right side
    37,454x = 627,006,659.67
  5. Step 5: Solve for x
    x = 627,006,659.67/37,454
  6. Step 6: Final answer
    x = 16,740.71

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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.