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Finding the Fourth Proportional to 31,686.50, 43,728.74 and 17,539.34

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Solution

The fourth proportional to 31,686.50, 43,728.74 and 17,539.34 is: 24,205.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,686.50 : 43,728.74 = 17,539.34 : x
  2. Step 2: Convert to fraction form
    31,686.50/43,728.74 = 17,539.34/x
  3. Step 3: Cross multiply
    31,686.50x = 43,728.74 × 17,539.34
  4. Step 4: Simplify right side
    31,686.50x = 766,973,238.63
  5. Step 5: Solve for x
    x = 766,973,238.63/31,686.50
  6. Step 6: Final answer
    x = 24,205.05

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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.