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Finding the Fourth Proportional to 30,781.59, 46,174.82 and 9,723.26

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Solution

The fourth proportional to 30,781.59, 46,174.82 and 9,723.26 is: 14,585.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,781.59 : 46,174.82 = 9,723.26 : x
  2. Step 2: Convert to fraction form
    30,781.59/46,174.82 = 9,723.26/x
  3. Step 3: Cross multiply
    30,781.59x = 46,174.82 × 9,723.26
  4. Step 4: Simplify right side
    30,781.59x = 448,969,500.82
  5. Step 5: Solve for x
    x = 448,969,500.82/30,781.59
  6. Step 6: Final answer
    x = 14,585.65

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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.