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Finding the Fourth Proportional to 31,155.42, 42,992.98 and 17,725.42

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Solution

The fourth proportional to 31,155.42, 42,992.98 and 17,725.42 is: 24,460.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,155.42 : 42,992.98 = 17,725.42 : x
  2. Step 2: Convert to fraction form
    31,155.42/42,992.98 = 17,725.42/x
  3. Step 3: Cross multiply
    31,155.42x = 42,992.98 × 17,725.42
  4. Step 4: Simplify right side
    31,155.42x = 762,068,627.55
  5. Step 5: Solve for x
    x = 762,068,627.55/31,155.42
  6. Step 6: Final answer
    x = 24,460.23

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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.