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Finding the Fourth Proportional to 37,660.78, 56,491.49 and 9,580.86

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Solution

The fourth proportional to 37,660.78, 56,491.49 and 9,580.86 is: 14,371.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,660.78 : 56,491.49 = 9,580.86 : x
  2. Step 2: Convert to fraction form
    37,660.78/56,491.49 = 9,580.86/x
  3. Step 3: Cross multiply
    37,660.78x = 56,491.49 × 9,580.86
  4. Step 4: Simplify right side
    37,660.78x = 541,236,726.52
  5. Step 5: Solve for x
    x = 541,236,726.52/37,660.78
  6. Step 6: Final answer
    x = 14,371.36

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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.