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Finding the Fourth Proportional to 34,223, 47,228.76 and 19,116.30

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Solution

The fourth proportional to 34,223, 47,228.76 and 19,116.30 is: 26,381.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,223 : 47,228.76 = 19,116.30 : x
  2. Step 2: Convert to fraction form
    34,223/47,228.76 = 19,116.30/x
  3. Step 3: Cross multiply
    34,223x = 47,228.76 × 19,116.30
  4. Step 4: Simplify right side
    34,223x = 902,839,049.21
  5. Step 5: Solve for x
    x = 902,839,049.21/34,223
  6. Step 6: Final answer
    x = 26,381.06

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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.