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Finding the Fourth Proportional to 35,142.03, 52,718.31 and 11,763

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Solution

The fourth proportional to 35,142.03, 52,718.31 and 11,763 is: 17,646.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,142.03 : 52,718.31 = 11,763 : x
  2. Step 2: Convert to fraction form
    35,142.03/52,718.31 = 11,763/x
  3. Step 3: Cross multiply
    35,142.03x = 52,718.31 × 11,763
  4. Step 4: Simplify right side
    35,142.03x = 620,125,480.53
  5. Step 5: Solve for x
    x = 620,125,480.53/35,142.03
  6. Step 6: Final answer
    x = 17,646.26

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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.