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Finding the Fourth Proportional to 35,574, 49,092.60 and 19,658.82

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Solution

The fourth proportional to 35,574, 49,092.60 and 19,658.82 is: 27,129.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,574 : 49,092.60 = 19,658.82 : x
  2. Step 2: Convert to fraction form
    35,574/49,092.60 = 19,658.82/x
  3. Step 3: Cross multiply
    35,574x = 49,092.60 × 19,658.82
  4. Step 4: Simplify right side
    35,574x = 965,102,586.73
  5. Step 5: Solve for x
    x = 965,102,586.73/35,574
  6. Step 6: Final answer
    x = 27,129.44

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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.