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Finding the Fourth Proportional to 30,891.92, 46,301.42 and 11,155.48

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Solution

The fourth proportional to 30,891.92, 46,301.42 and 11,155.48 is: 16,720.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,891.92 : 46,301.42 = 11,155.48 : x
  2. Step 2: Convert to fraction form
    30,891.92/46,301.42 = 11,155.48/x
  3. Step 3: Cross multiply
    30,891.92x = 46,301.42 × 11,155.48
  4. Step 4: Simplify right side
    30,891.92x = 516,514,564.78
  5. Step 5: Solve for x
    x = 516,514,564.78/30,891.92
  6. Step 6: Final answer
    x = 16,720.05

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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.