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Finding the Fourth Proportional to 35,574.27, 49,090.89 and 19,658.38

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Solution

The fourth proportional to 35,574.27, 49,090.89 and 19,658.38 is: 27,127.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,574.27 : 49,090.89 = 19,658.38 : x
  2. Step 2: Convert to fraction form
    35,574.27/49,090.89 = 19,658.38/x
  3. Step 3: Cross multiply
    35,574.27x = 49,090.89 × 19,658.38
  4. Step 4: Simplify right side
    35,574.27x = 965,047,370.16
  5. Step 5: Solve for x
    x = 965,047,370.16/35,574.27
  6. Step 6: Final answer
    x = 27,127.68

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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.