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Finding the Fourth Proportional to 85,349.03, 127,928.07 and 31,989.65

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Solution

The fourth proportional to 85,349.03, 127,928.07 and 31,989.65 is: 47,948.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,349.03 : 127,928.07 = 31,989.65 : x
  2. Step 2: Convert to fraction form
    85,349.03/127,928.07 = 31,989.65/x
  3. Step 3: Cross multiply
    85,349.03x = 127,928.07 × 31,989.65
  4. Step 4: Simplify right side
    85,349.03x = 4,092,373,544.84
  5. Step 5: Solve for x
    x = 4,092,373,544.84/85,349.03
  6. Step 6: Final answer
    x = 47,948.69

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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.