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Finding the Fourth Proportional to 35,739, 49,322.97 and 19,826.55

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Solution

The fourth proportional to 35,739, 49,322.97 and 19,826.55 is: 27,362.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,739 : 49,322.97 = 19,826.55 : x
  2. Step 2: Convert to fraction form
    35,739/49,322.97 = 19,826.55/x
  3. Step 3: Cross multiply
    35,739x = 49,322.97 × 19,826.55
  4. Step 4: Simplify right side
    35,739x = 977,904,330.85
  5. Step 5: Solve for x
    x = 977,904,330.85/35,739
  6. Step 6: Final answer
    x = 27,362.39

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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.