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Finding the Fourth Proportional to 85,244.46, 127,840.77 and 29,827.50

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Solution

The fourth proportional to 85,244.46, 127,840.77 and 29,827.50 is: 44,732.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,244.46 : 127,840.77 = 29,827.50 : x
  2. Step 2: Convert to fraction form
    85,244.46/127,840.77 = 29,827.50/x
  3. Step 3: Cross multiply
    85,244.46x = 127,840.77 × 29,827.50
  4. Step 4: Simplify right side
    85,244.46x = 3,813,170,567.18
  5. Step 5: Solve for x
    x = 3,813,170,567.18/85,244.46
  6. Step 6: Final answer
    x = 44,732.18

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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.