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Finding the Fourth Proportional to 31,574.96, 43,573.22 and 17,427.80

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Solution

The fourth proportional to 31,574.96, 43,573.22 and 17,427.80 is: 24,050.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,574.96 : 43,573.22 = 17,427.80 : x
  2. Step 2: Convert to fraction form
    31,574.96/43,573.22 = 17,427.80/x
  3. Step 3: Cross multiply
    31,574.96x = 43,573.22 × 17,427.80
  4. Step 4: Simplify right side
    31,574.96x = 759,385,363.52
  5. Step 5: Solve for x
    x = 759,385,363.52/31,574.96
  6. Step 6: Final answer
    x = 24,050.24

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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.