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Finding the Fourth Proportional to 47,008, 64,872.96 and 27,136

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Solution

The fourth proportional to 47,008, 64,872.96 and 27,136 is: 37,448.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,008 : 64,872.96 = 27,136 : x
  2. Step 2: Convert to fraction form
    47,008/64,872.96 = 27,136/x
  3. Step 3: Cross multiply
    47,008x = 64,872.96 × 27,136
  4. Step 4: Simplify right side
    47,008x = 1,760,392,642.56
  5. Step 5: Solve for x
    x = 1,760,392,642.56/47,008
  6. Step 6: Final answer
    x = 37,448.79

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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.