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Finding the Fourth Proportional to 31,861.80, 43,969.14 and 17,713.80

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Solution

The fourth proportional to 31,861.80, 43,969.14 and 17,713.80 is: 24,444.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,861.80 : 43,969.14 = 17,713.80 : x
  2. Step 2: Convert to fraction form
    31,861.80/43,969.14 = 17,713.80/x
  3. Step 3: Cross multiply
    31,861.80x = 43,969.14 × 17,713.80
  4. Step 4: Simplify right side
    31,861.80x = 778,860,552.13
  5. Step 5: Solve for x
    x = 778,860,552.13/31,861.80
  6. Step 6: Final answer
    x = 24,444.96

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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.