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Finding the Fourth Proportional to 46,997.56, 64,856.46 and 29,089

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Solution

The fourth proportional to 46,997.56, 64,856.46 and 29,089 is: 40,142.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,997.56 : 64,856.46 = 29,089 : x
  2. Step 2: Convert to fraction form
    46,997.56/64,856.46 = 29,089/x
  3. Step 3: Cross multiply
    46,997.56x = 64,856.46 × 29,089
  4. Step 4: Simplify right side
    46,997.56x = 1,886,609,564.94
  5. Step 5: Solve for x
    x = 1,886,609,564.94/46,997.56
  6. Step 6: Final answer
    x = 40,142.71

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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.