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Finding the Fourth Proportional to 31,695.90, 43,740.98 and 17,549.25

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Solution

The fourth proportional to 31,695.90, 43,740.98 and 17,549.25 is: 24,218.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,695.90 : 43,740.98 = 17,549.25 : x
  2. Step 2: Convert to fraction form
    31,695.90/43,740.98 = 17,549.25/x
  3. Step 3: Cross multiply
    31,695.90x = 43,740.98 × 17,549.25
  4. Step 4: Simplify right side
    31,695.90x = 767,621,393.27
  5. Step 5: Solve for x
    x = 767,621,393.27/31,695.90
  6. Step 6: Final answer
    x = 24,218.32

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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.