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Finding the Fourth Proportional to 47,967.78, 72,003.50 and 20,285.22

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Solution

The fourth proportional to 47,967.78, 72,003.50 and 20,285.22 is: 30,449.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,967.78 : 72,003.50 = 20,285.22 : x
  2. Step 2: Convert to fraction form
    47,967.78/72,003.50 = 20,285.22/x
  3. Step 3: Cross multiply
    47,967.78x = 72,003.50 × 20,285.22
  4. Step 4: Simplify right side
    47,967.78x = 1,460,606,838.27
  5. Step 5: Solve for x
    x = 1,460,606,838.27/47,967.78
  6. Step 6: Final answer
    x = 30,449.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.