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Finding the Fourth Proportional to 34,122.72, 47,090.88 and 22,196.16

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Solution

The fourth proportional to 34,122.72, 47,090.88 and 22,196.16 is: 30,631.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,122.72 : 47,090.88 = 22,196.16 : x
  2. Step 2: Convert to fraction form
    34,122.72/47,090.88 = 22,196.16/x
  3. Step 3: Cross multiply
    34,122.72x = 47,090.88 × 22,196.16
  4. Step 4: Simplify right side
    34,122.72x = 1,045,236,707.02
  5. Step 5: Solve for x
    x = 1,045,236,707.02/34,122.72
  6. Step 6: Final answer
    x = 30,631.69

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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.