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Finding the Fourth Proportional to 35,574.66, 49,093.65 and 19,659.24

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Solution

The fourth proportional to 35,574.66, 49,093.65 and 19,659.24 is: 27,130.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,574.66 : 49,093.65 = 19,659.24 : x
  2. Step 2: Convert to fraction form
    35,574.66/49,093.65 = 19,659.24/x
  3. Step 3: Cross multiply
    35,574.66x = 49,093.65 × 19,659.24
  4. Step 4: Simplify right side
    35,574.66x = 965,143,847.83
  5. Step 5: Solve for x
    x = 965,143,847.83/35,574.66
  6. Step 6: Final answer
    x = 27,130.09

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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.