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Finding the Fourth Proportional to 35,970.79, 49,640.56 and 19,838.33

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Solution

The fourth proportional to 35,970.79, 49,640.56 and 19,838.33 is: 27,377.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,970.79 : 49,640.56 = 19,838.33 : x
  2. Step 2: Convert to fraction form
    35,970.79/49,640.56 = 19,838.33/x
  3. Step 3: Cross multiply
    35,970.79x = 49,640.56 × 19,838.33
  4. Step 4: Simplify right side
    35,970.79x = 984,785,810.66
  5. Step 5: Solve for x
    x = 984,785,810.66/35,970.79
  6. Step 6: Final answer
    x = 27,377.38

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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.