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Finding the Fourth Proportional to 37,772.53, 56,661.99 and 11,477.50

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Solution

The fourth proportional to 37,772.53, 56,661.99 and 11,477.50 is: 17,217.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,772.53 : 56,661.99 = 11,477.50 : x
  2. Step 2: Convert to fraction form
    37,772.53/56,661.99 = 11,477.50/x
  3. Step 3: Cross multiply
    37,772.53x = 56,661.99 × 11,477.50
  4. Step 4: Simplify right side
    37,772.53x = 650,337,990.23
  5. Step 5: Solve for x
    x = 650,337,990.23/37,772.53
  6. Step 6: Final answer
    x = 17,217.22

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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.