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Finding the Fourth Proportional to 31,023.30, 42,802.48 and 17,593.50

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Solution

The fourth proportional to 31,023.30, 42,802.48 and 17,593.50 is: 24,273.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,023.30 : 42,802.48 = 17,593.50 : x
  2. Step 2: Convert to fraction form
    31,023.30/42,802.48 = 17,593.50/x
  3. Step 3: Cross multiply
    31,023.30x = 42,802.48 × 17,593.50
  4. Step 4: Simplify right side
    31,023.30x = 753,045,431.88
  5. Step 5: Solve for x
    x = 753,045,431.88/31,023.30
  6. Step 6: Final answer
    x = 24,273.54

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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.