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Finding the Fourth Proportional to 31,156.86, 42,996.78 and 17,009.94

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Solution

The fourth proportional to 31,156.86, 42,996.78 and 17,009.94 is: 23,473.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,156.86 : 42,996.78 = 17,009.94 : x
  2. Step 2: Convert to fraction form
    31,156.86/42,996.78 = 17,009.94/x
  3. Step 3: Cross multiply
    31,156.86x = 42,996.78 × 17,009.94
  4. Step 4: Simplify right side
    31,156.86x = 731,372,647.99
  5. Step 5: Solve for x
    x = 731,372,647.99/31,156.86
  6. Step 6: Final answer
    x = 23,473.89

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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.