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Finding the Fourth Proportional to 31,902.42, 44,024.40 and 17,754.96

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Solution

The fourth proportional to 31,902.42, 44,024.40 and 17,754.96 is: 24,501.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,902.42 : 44,024.40 = 17,754.96 : x
  2. Step 2: Convert to fraction form
    31,902.42/44,024.40 = 17,754.96/x
  3. Step 3: Cross multiply
    31,902.42x = 44,024.40 × 17,754.96
  4. Step 4: Simplify right side
    31,902.42x = 781,651,461.02
  5. Step 5: Solve for x
    x = 781,651,461.02/31,902.42
  6. Step 6: Final answer
    x = 24,501.32

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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.