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Finding the Fourth Proportional to 30,872.34, 46,308.41 and 11,150.87

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Solution

The fourth proportional to 30,872.34, 46,308.41 and 11,150.87 is: 16,726.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,872.34 : 46,308.41 = 11,150.87 : x
  2. Step 2: Convert to fraction form
    30,872.34/46,308.41 = 11,150.87/x
  3. Step 3: Cross multiply
    30,872.34x = 46,308.41 × 11,150.87
  4. Step 4: Simplify right side
    30,872.34x = 516,378,814.34
  5. Step 5: Solve for x
    x = 516,378,814.34/30,872.34
  6. Step 6: Final answer
    x = 16,726.26

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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.