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Finding the Fourth Proportional to 31,154.42, 42,992.43 and 17,007.50

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Solution

The fourth proportional to 31,154.42, 42,992.43 and 17,007.50 is: 23,469.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,154.42 : 42,992.43 = 17,007.50 : x
  2. Step 2: Convert to fraction form
    31,154.42/42,992.43 = 17,007.50/x
  3. Step 3: Cross multiply
    31,154.42x = 42,992.43 × 17,007.50
  4. Step 4: Simplify right side
    31,154.42x = 731,193,753.23
  5. Step 5: Solve for x
    x = 731,193,753.23/31,154.42
  6. Step 6: Final answer
    x = 23,469.98

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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.