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Finding the Fourth Proportional to 35,679.93, 49,239.69 and 19,764.06

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Solution

The fourth proportional to 35,679.93, 49,239.69 and 19,764.06 is: 27,275.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,679.93 : 49,239.69 = 19,764.06 : x
  2. Step 2: Convert to fraction form
    35,679.93/49,239.69 = 19,764.06/x
  3. Step 3: Cross multiply
    35,679.93x = 49,239.69 × 19,764.06
  4. Step 4: Simplify right side
    35,679.93x = 973,176,187.54
  5. Step 5: Solve for x
    x = 973,176,187.54/35,679.93
  6. Step 6: Final answer
    x = 27,275.17

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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.