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Finding the Fourth Proportional to 30,400.82, 41,952.31 and 16,971.69

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Solution

The fourth proportional to 30,400.82, 41,952.31 and 16,971.69 is: 23,420.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,400.82 : 41,952.31 = 16,971.69 : x
  2. Step 2: Convert to fraction form
    30,400.82/41,952.31 = 16,971.69/x
  3. Step 3: Cross multiply
    30,400.82x = 41,952.31 × 16,971.69
  4. Step 4: Simplify right side
    30,400.82x = 712,001,600.10
  5. Step 5: Solve for x
    x = 712,001,600.10/30,400.82
  6. Step 6: Final answer
    x = 23,420.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.