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Finding the Fourth Proportional to 31,711.75, 43,762.22 and 17,565.51

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Solution

The fourth proportional to 31,711.75, 43,762.22 and 17,565.51 is: 24,240.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,711.75 : 43,762.22 = 17,565.51 : x
  2. Step 2: Convert to fraction form
    31,711.75/43,762.22 = 17,565.51/x
  3. Step 3: Cross multiply
    31,711.75x = 43,762.22 × 17,565.51
  4. Step 4: Simplify right side
    31,711.75x = 768,705,406.39
  5. Step 5: Solve for x
    x = 768,705,406.39/31,711.75
  6. Step 6: Final answer
    x = 24,240.40

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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.