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Finding the Fourth Proportional to 47,096, 64,998.24 and 27,224

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Solution

The fourth proportional to 47,096, 64,998.24 and 27,224 is: 37,572.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,096 : 64,998.24 = 27,224 : x
  2. Step 2: Convert to fraction form
    47,096/64,998.24 = 27,224/x
  3. Step 3: Cross multiply
    47,096x = 64,998.24 × 27,224
  4. Step 4: Simplify right side
    47,096x = 1,769,512,085.76
  5. Step 5: Solve for x
    x = 1,769,512,085.76/47,096
  6. Step 6: Final answer
    x = 37,572.45

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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.