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Finding the Fourth Proportional to 34,224.66, 47,236.23 and 22,140

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Solution

The fourth proportional to 34,224.66, 47,236.23 and 22,140 is: 30,557.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,224.66 : 47,236.23 = 22,140 : x
  2. Step 2: Convert to fraction form
    34,224.66/47,236.23 = 22,140/x
  3. Step 3: Cross multiply
    34,224.66x = 47,236.23 × 22,140
  4. Step 4: Simplify right side
    34,224.66x = 1,045,810,132.20
  5. Step 5: Solve for x
    x = 1,045,810,132.20/34,224.66
  6. Step 6: Final answer
    x = 30,557.21

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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.