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Finding the Fourth Proportional to 35,506.12, 49,205.59 and 35,005

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Solution

The fourth proportional to 35,506.12, 49,205.59 and 35,005 is: 48,511.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,506.12 : 49,205.59 = 35,005 : x
  2. Step 2: Convert to fraction form
    35,506.12/49,205.59 = 35,005/x
  3. Step 3: Cross multiply
    35,506.12x = 49,205.59 × 35,005
  4. Step 4: Simplify right side
    35,506.12x = 1,722,441,677.95
  5. Step 5: Solve for x
    x = 1,722,441,677.95/35,506.12
  6. Step 6: Final answer
    x = 48,511.12

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.