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Finding the Fourth Proportional to 35,686.52, 49,243.81 and 19,767.99

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Solution

The fourth proportional to 35,686.52, 49,243.81 and 19,767.99 is: 27,277.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,686.52 : 49,243.81 = 19,767.99 : x
  2. Step 2: Convert to fraction form
    35,686.52/49,243.81 = 19,767.99/x
  3. Step 3: Cross multiply
    35,686.52x = 49,243.81 × 19,767.99
  4. Step 4: Simplify right side
    35,686.52x = 973,451,143.64
  5. Step 5: Solve for x
    x = 973,451,143.64/35,686.52
  6. Step 6: Final answer
    x = 27,277.84

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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.