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Finding the Fourth Proportional to 35,838.28, 49,456.38 and 19,922.32

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Solution

The fourth proportional to 35,838.28, 49,456.38 and 19,922.32 is: 27,492.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,838.28 : 49,456.38 = 19,922.32 : x
  2. Step 2: Convert to fraction form
    35,838.28/49,456.38 = 19,922.32/x
  3. Step 3: Cross multiply
    35,838.28x = 49,456.38 × 19,922.32
  4. Step 4: Simplify right side
    35,838.28x = 985,285,828.40
  5. Step 5: Solve for x
    x = 985,285,828.40/35,838.28
  6. Step 6: Final answer
    x = 27,492.55

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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.