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Finding the Fourth Proportional to 47,115.72, 64,992.62 and 29,421

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Solution

The fourth proportional to 47,115.72, 64,992.62 and 29,421 is: 40,584.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,115.72 : 64,992.62 = 29,421 : x
  2. Step 2: Convert to fraction form
    47,115.72/64,992.62 = 29,421/x
  3. Step 3: Cross multiply
    47,115.72x = 64,992.62 × 29,421
  4. Step 4: Simplify right side
    47,115.72x = 1,912,147,873.02
  5. Step 5: Solve for x
    x = 1,912,147,873.02/47,115.72
  6. Step 6: Final answer
    x = 40,584.07

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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.