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Finding the Fourth Proportional to 30,879.50, 46,291.53 and 11,153.43

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Solution

The fourth proportional to 30,879.50, 46,291.53 and 11,153.43 is: 16,720.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,879.50 : 46,291.53 = 11,153.43 : x
  2. Step 2: Convert to fraction form
    30,879.50/46,291.53 = 11,153.43/x
  3. Step 3: Cross multiply
    30,879.50x = 46,291.53 × 11,153.43
  4. Step 4: Simplify right side
    30,879.50x = 516,309,381.27
  5. Step 5: Solve for x
    x = 516,309,381.27/30,879.50
  6. Step 6: Final answer
    x = 16,720.14

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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.