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Finding the Fourth Proportional to 31,000.27, 42,777.63 and 17,202.95

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Solution

The fourth proportional to 31,000.27, 42,777.63 and 17,202.95 is: 23,738.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,000.27 : 42,777.63 = 17,202.95 : x
  2. Step 2: Convert to fraction form
    31,000.27/42,777.63 = 17,202.95/x
  3. Step 3: Cross multiply
    31,000.27x = 42,777.63 × 17,202.95
  4. Step 4: Simplify right side
    31,000.27x = 735,901,536.95
  5. Step 5: Solve for x
    x = 735,901,536.95/31,000.27
  6. Step 6: Final answer
    x = 23,738.55

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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.