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Finding the Fourth Proportional to 47,188.89, 65,133.44 and 27,824.69

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Solution

The fourth proportional to 47,188.89, 65,133.44 and 27,824.69 is: 38,405.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,188.89 : 65,133.44 = 27,824.69 : x
  2. Step 2: Convert to fraction form
    47,188.89/65,133.44 = 27,824.69/x
  3. Step 3: Cross multiply
    47,188.89x = 65,133.44 × 27,824.69
  4. Step 4: Simplify right side
    47,188.89x = 1,812,317,311.84
  5. Step 5: Solve for x
    x = 1,812,317,311.84/47,188.89
  6. Step 6: Final answer
    x = 38,405.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.