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Finding the Fourth Proportional to 37,661.02, 56,491.86 and 9,581.10

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Solution

The fourth proportional to 37,661.02, 56,491.86 and 9,581.10 is: 14,371.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,661.02 : 56,491.86 = 9,581.10 : x
  2. Step 2: Convert to fraction form
    37,661.02/56,491.86 = 9,581.10/x
  3. Step 3: Cross multiply
    37,661.02x = 56,491.86 × 9,581.10
  4. Step 4: Simplify right side
    37,661.02x = 541,254,159.85
  5. Step 5: Solve for x
    x = 541,254,159.85/37,661.02
  6. Step 6: Final answer
    x = 14,371.73

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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.