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Finding the Fourth Proportional to 35,200.77, 52,801.15 and 11,827.20

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Solution

The fourth proportional to 35,200.77, 52,801.15 and 11,827.20 is: 17,740.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,200.77 : 52,801.15 = 11,827.20 : x
  2. Step 2: Convert to fraction form
    35,200.77/52,801.15 = 11,827.20/x
  3. Step 3: Cross multiply
    35,200.77x = 52,801.15 × 11,827.20
  4. Step 4: Simplify right side
    35,200.77x = 624,489,761.28
  5. Step 5: Solve for x
    x = 624,489,761.28/35,200.77
  6. Step 6: Final answer
    x = 17,740.80

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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.