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Finding the Fourth Proportional to 31,505.72, 47,229.40 and 17,645

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Solution

The fourth proportional to 31,505.72, 47,229.40 and 17,645 is: 26,451.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,505.72 : 47,229.40 = 17,645 : x
  2. Step 2: Convert to fraction form
    31,505.72/47,229.40 = 17,645/x
  3. Step 3: Cross multiply
    31,505.72x = 47,229.40 × 17,645
  4. Step 4: Simplify right side
    31,505.72x = 833,362,763
  5. Step 5: Solve for x
    x = 833,362,763/31,505.72
  6. Step 6: Final answer
    x = 26,451.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.