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Finding the Fourth Proportional to 106,363.64, 159,553.92 and 35,283.72

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Solution

The fourth proportional to 106,363.64, 159,553.92 and 35,283.72 is: 52,928.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,363.64 : 159,553.92 = 35,283.72 : x
  2. Step 2: Convert to fraction form
    106,363.64/159,553.92 = 35,283.72/x
  3. Step 3: Cross multiply
    106,363.64x = 159,553.92 × 35,283.72
  4. Step 4: Simplify right side
    106,363.64x = 5,629,655,838.18
  5. Step 5: Solve for x
    x = 5,629,655,838.18/106,363.64
  6. Step 6: Final answer
    x = 52,928.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.