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Finding the Fourth Proportional to 85,089.72, 127,677.63 and 35,205.61

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Solution

The fourth proportional to 85,089.72, 127,677.63 and 35,205.61 is: 52,826.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,089.72 : 127,677.63 = 35,205.61 : x
  2. Step 2: Convert to fraction form
    85,089.72/127,677.63 = 35,205.61/x
  3. Step 3: Cross multiply
    85,089.72x = 127,677.63 × 35,205.61
  4. Step 4: Simplify right side
    85,089.72x = 4,494,968,847.50
  5. Step 5: Solve for x
    x = 4,494,968,847.50/85,089.72
  6. Step 6: Final answer
    x = 52,826.23

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Why These Related Problems?

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