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Finding the Fourth Proportional to 31,597.34, 43,603.72 and 17,449.88

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Solution

The fourth proportional to 31,597.34, 43,603.72 and 17,449.88 is: 24,080.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,597.34 : 43,603.72 = 17,449.88 : x
  2. Step 2: Convert to fraction form
    31,597.34/43,603.72 = 17,449.88/x
  3. Step 3: Cross multiply
    31,597.34x = 43,603.72 × 17,449.88
  4. Step 4: Simplify right side
    31,597.34x = 760,879,419.91
  5. Step 5: Solve for x
    x = 760,879,419.91/31,597.34
  6. Step 6: Final answer
    x = 24,080.49

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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.