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Finding the Fourth Proportional to 36,497.16, 54,745.74 and 20,903.88

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Solution

The fourth proportional to 36,497.16, 54,745.74 and 20,903.88 is: 31,355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,497.16 : 54,745.74 = 20,903.88 : x
  2. Step 2: Convert to fraction form
    36,497.16/54,745.74 = 20,903.88/x
  3. Step 3: Cross multiply
    36,497.16x = 54,745.74 × 20,903.88
  4. Step 4: Simplify right side
    36,497.16x = 1,144,398,379.47
  5. Step 5: Solve for x
    x = 1,144,398,379.47/36,497.16
  6. Step 6: Final answer
    x = 31,355.82

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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.