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Finding the Fourth Proportional to 37,788.72, 56,691.72 and 11,497.20

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Solution

The fourth proportional to 37,788.72, 56,691.72 and 11,497.20 is: 17,248.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,788.72 : 56,691.72 = 11,497.20 : x
  2. Step 2: Convert to fraction form
    37,788.72/56,691.72 = 11,497.20/x
  3. Step 3: Cross multiply
    37,788.72x = 56,691.72 × 11,497.20
  4. Step 4: Simplify right side
    37,788.72x = 651,796,043.18
  5. Step 5: Solve for x
    x = 651,796,043.18/37,788.72
  6. Step 6: Final answer
    x = 17,248.43

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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.