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Finding the Fourth Proportional to 31,433.59, 43,377.02 and 17,822.54

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Solution

The fourth proportional to 31,433.59, 43,377.02 and 17,822.54 is: 24,594.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,433.59 : 43,377.02 = 17,822.54 : x
  2. Step 2: Convert to fraction form
    31,433.59/43,377.02 = 17,822.54/x
  3. Step 3: Cross multiply
    31,433.59x = 43,377.02 × 17,822.54
  4. Step 4: Simplify right side
    31,433.59x = 773,088,674.03
  5. Step 5: Solve for x
    x = 773,088,674.03/31,433.59
  6. Step 6: Final answer
    x = 24,594.35

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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.