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Finding the Fourth Proportional to 35,106.03, 52,648.11 and 11,727

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Solution

The fourth proportional to 35,106.03, 52,648.11 and 11,727 is: 17,586.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,106.03 : 52,648.11 = 11,727 : x
  2. Step 2: Convert to fraction form
    35,106.03/52,648.11 = 11,727/x
  3. Step 3: Cross multiply
    35,106.03x = 52,648.11 × 11,727
  4. Step 4: Simplify right side
    35,106.03x = 617,404,385.97
  5. Step 5: Solve for x
    x = 617,404,385.97/35,106.03
  6. Step 6: Final answer
    x = 17,586.85

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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.