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Finding the Fourth Proportional to 34,388.16, 47,476.36 and 22,471.44

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Solution

The fourth proportional to 34,388.16, 47,476.36 and 22,471.44 is: 31,024.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,388.16 : 47,476.36 = 22,471.44 : x
  2. Step 2: Convert to fraction form
    34,388.16/47,476.36 = 22,471.44/x
  3. Step 3: Cross multiply
    34,388.16x = 47,476.36 × 22,471.44
  4. Step 4: Simplify right side
    34,388.16x = 1,066,862,175.16
  5. Step 5: Solve for x
    x = 1,066,862,175.16/34,388.16
  6. Step 6: Final answer
    x = 31,024.11

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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.