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Finding the Fourth Proportional to 31,739.19, 43,795.47 and 17,592

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Solution

The fourth proportional to 31,739.19, 43,795.47 and 17,592 is: 24,274.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,739.19 : 43,795.47 = 17,592 : x
  2. Step 2: Convert to fraction form
    31,739.19/43,795.47 = 17,592/x
  3. Step 3: Cross multiply
    31,739.19x = 43,795.47 × 17,592
  4. Step 4: Simplify right side
    31,739.19x = 770,449,908.24
  5. Step 5: Solve for x
    x = 770,449,908.24/31,739.19
  6. Step 6: Final answer
    x = 24,274.40

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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.