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Finding the Fourth Proportional to 34,922.84, 48,192 and 19,007.34

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Solution

The fourth proportional to 34,922.84, 48,192 and 19,007.34 is: 26,229.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,922.84 : 48,192 = 19,007.34 : x
  2. Step 2: Convert to fraction form
    34,922.84/48,192 = 19,007.34/x
  3. Step 3: Cross multiply
    34,922.84x = 48,192 × 19,007.34
  4. Step 4: Simplify right side
    34,922.84x = 916,001,729.28
  5. Step 5: Solve for x
    x = 916,001,729.28/34,922.84
  6. Step 6: Final answer
    x = 26,229.31

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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.