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Finding the Fourth Proportional to 85,135.32, 127,710.27 and 35,205.84

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Solution

The fourth proportional to 85,135.32, 127,710.27 and 35,205.84 is: 52,811.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,135.32 : 127,710.27 = 35,205.84 : x
  2. Step 2: Convert to fraction form
    85,135.32/127,710.27 = 35,205.84/x
  3. Step 3: Cross multiply
    85,135.32x = 127,710.27 × 35,205.84
  4. Step 4: Simplify right side
    85,135.32x = 4,496,147,331.98
  5. Step 5: Solve for x
    x = 4,496,147,331.98/85,135.32
  6. Step 6: Final answer
    x = 52,811.77

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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.