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Finding the Fourth Proportional to 35,970.92, 49,640.49 and 19,840.08

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Solution

The fourth proportional to 35,970.92, 49,640.49 and 19,840.08 is: 27,379.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,970.92 : 49,640.49 = 19,840.08 : x
  2. Step 2: Convert to fraction form
    35,970.92/49,640.49 = 19,840.08/x
  3. Step 3: Cross multiply
    35,970.92x = 49,640.49 × 19,840.08
  4. Step 4: Simplify right side
    35,970.92x = 984,871,478.99
  5. Step 5: Solve for x
    x = 984,871,478.99/35,970.92
  6. Step 6: Final answer
    x = 27,379.66

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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.