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Finding the Fourth Proportional to 37,710.82, 56,572.36 and 11,409.41

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Solution

The fourth proportional to 37,710.82, 56,572.36 and 11,409.41 is: 17,115.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,710.82 : 56,572.36 = 11,409.41 : x
  2. Step 2: Convert to fraction form
    37,710.82/56,572.36 = 11,409.41/x
  3. Step 3: Cross multiply
    37,710.82x = 56,572.36 × 11,409.41
  4. Step 4: Simplify right side
    37,710.82x = 645,457,249.91
  5. Step 5: Solve for x
    x = 645,457,249.91/37,710.82
  6. Step 6: Final answer
    x = 17,115.97

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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.