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Finding the Fourth Proportional to 31,154.42, 42,992.97 and 17,007.34

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Solution

The fourth proportional to 31,154.42, 42,992.97 and 17,007.34 is: 23,470.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,154.42 : 42,992.97 = 17,007.34 : x
  2. Step 2: Convert to fraction form
    31,154.42/42,992.97 = 17,007.34/x
  3. Step 3: Cross multiply
    31,154.42x = 42,992.97 × 17,007.34
  4. Step 4: Simplify right side
    31,154.42x = 731,196,058.40
  5. Step 5: Solve for x
    x = 731,196,058.40/31,154.42
  6. Step 6: Final answer
    x = 23,470.06

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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.