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Finding the Fourth Proportional to 34,792, 48,012.96 and 19,684.36

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Solution

The fourth proportional to 34,792, 48,012.96 and 19,684.36 is: 27,164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,792 : 48,012.96 = 19,684.36 : x
  2. Step 2: Convert to fraction form
    34,792/48,012.96 = 19,684.36/x
  3. Step 3: Cross multiply
    34,792x = 48,012.96 × 19,684.36
  4. Step 4: Simplify right side
    34,792x = 945,104,389.31
  5. Step 5: Solve for x
    x = 945,104,389.31/34,792
  6. Step 6: Final answer
    x = 27,164.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.