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Finding the Fourth Proportional to 37,974, 56,959.28 and 11,677.60

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Solution

The fourth proportional to 37,974, 56,959.28 and 11,677.60 is: 17,515.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,974 : 56,959.28 = 11,677.60 : x
  2. Step 2: Convert to fraction form
    37,974/56,959.28 = 11,677.60/x
  3. Step 3: Cross multiply
    37,974x = 56,959.28 × 11,677.60
  4. Step 4: Simplify right side
    37,974x = 665,147,688.13
  5. Step 5: Solve for x
    x = 665,147,688.13/37,974
  6. Step 6: Final answer
    x = 17,515.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.