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Finding the Fourth Proportional to 31,597.86, 43,604.22 and 17,450.40

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Solution

The fourth proportional to 31,597.86, 43,604.22 and 17,450.40 is: 24,081.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,597.86 : 43,604.22 = 17,450.40 : x
  2. Step 2: Convert to fraction form
    31,597.86/43,604.22 = 17,450.40/x
  3. Step 3: Cross multiply
    31,597.86x = 43,604.22 × 17,450.40
  4. Step 4: Simplify right side
    31,597.86x = 760,911,080.69
  5. Step 5: Solve for x
    x = 760,911,080.69/31,597.86
  6. Step 6: Final answer
    x = 24,081.10

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