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Finding the Fourth Proportional to 37,711, 56,575.64 and 11,414.24

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Solution

The fourth proportional to 37,711, 56,575.64 and 11,414.24 is: 17,124.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,711 : 56,575.64 = 11,414.24 : x
  2. Step 2: Convert to fraction form
    37,711/56,575.64 = 11,414.24/x
  3. Step 3: Cross multiply
    37,711x = 56,575.64 × 11,414.24
  4. Step 4: Simplify right side
    37,711x = 645,767,933.11
  5. Step 5: Solve for x
    x = 645,767,933.11/37,711
  6. Step 6: Final answer
    x = 17,124.13

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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.