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Finding the Fourth Proportional to 34,762.73, 47,972.29 and 19,658.36

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Solution

The fourth proportional to 34,762.73, 47,972.29 and 19,658.36 is: 27,128.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,762.73 : 47,972.29 = 19,658.36 : x
  2. Step 2: Convert to fraction form
    34,762.73/47,972.29 = 19,658.36/x
  3. Step 3: Cross multiply
    34,762.73x = 47,972.29 × 19,658.36
  4. Step 4: Simplify right side
    34,762.73x = 943,056,617.63
  5. Step 5: Solve for x
    x = 943,056,617.63/34,762.73
  6. Step 6: Final answer
    x = 27,128.38

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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.