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Finding the Fourth Proportional to 105,889.84, 158,863.92 and 35,818.36

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Solution

The fourth proportional to 105,889.84, 158,863.92 and 35,818.36 is: 53,737.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,889.84 : 158,863.92 = 35,818.36 : x
  2. Step 2: Convert to fraction form
    105,889.84/158,863.92 = 35,818.36/x
  3. Step 3: Cross multiply
    105,889.84x = 158,863.92 × 35,818.36
  4. Step 4: Simplify right side
    105,889.84x = 5,690,245,077.57
  5. Step 5: Solve for x
    x = 5,690,245,077.57/105,889.84
  6. Step 6: Final answer
    x = 53,737.40

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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.