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Finding the Fourth Proportional to 35,869.74, 49,502.07 and 19,954.50

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Solution

The fourth proportional to 35,869.74, 49,502.07 and 19,954.50 is: 27,538.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,869.74 : 49,502.07 = 19,954.50 : x
  2. Step 2: Convert to fraction form
    35,869.74/49,502.07 = 19,954.50/x
  3. Step 3: Cross multiply
    35,869.74x = 49,502.07 × 19,954.50
  4. Step 4: Simplify right side
    35,869.74x = 987,789,055.82
  5. Step 5: Solve for x
    x = 987,789,055.82/35,869.74
  6. Step 6: Final answer
    x = 27,538.23

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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.