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Finding the Fourth Proportional to 35,665.38, 49,218.18 and 19,749.81

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Solution

The fourth proportional to 35,665.38, 49,218.18 and 19,749.81 is: 27,254.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,665.38 : 49,218.18 = 19,749.81 : x
  2. Step 2: Convert to fraction form
    35,665.38/49,218.18 = 19,749.81/x
  3. Step 3: Cross multiply
    35,665.38x = 49,218.18 × 19,749.81
  4. Step 4: Simplify right side
    35,665.38x = 972,049,703.55
  5. Step 5: Solve for x
    x = 972,049,703.55/35,665.38
  6. Step 6: Final answer
    x = 27,254.71

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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.