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Finding the Fourth Proportional to 37,801, 56,685.12 and 11,499.64

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Solution

The fourth proportional to 37,801, 56,685.12 and 11,499.64 is: 17,244.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,801 : 56,685.12 = 11,499.64 : x
  2. Step 2: Convert to fraction form
    37,801/56,685.12 = 11,499.64/x
  3. Step 3: Cross multiply
    37,801x = 56,685.12 × 11,499.64
  4. Step 4: Simplify right side
    37,801x = 651,858,473.36
  5. Step 5: Solve for x
    x = 651,858,473.36/37,801
  6. Step 6: Final answer
    x = 17,244.48

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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.