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Finding the Fourth Proportional to 85,136.74, 127,704.40 and 31,842.16

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Solution

The fourth proportional to 85,136.74, 127,704.40 and 31,842.16 is: 47,762.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,136.74 : 127,704.40 = 31,842.16 : x
  2. Step 2: Convert to fraction form
    85,136.74/127,704.40 = 31,842.16/x
  3. Step 3: Cross multiply
    85,136.74x = 127,704.40 × 31,842.16
  4. Step 4: Simplify right side
    85,136.74x = 4,066,383,937.50
  5. Step 5: Solve for x
    x = 4,066,383,937.50/85,136.74
  6. Step 6: Final answer
    x = 47,762.97

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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.