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Finding the Fourth Proportional to 105,919.48, 158,902.08 and 35,797.24

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Solution

The fourth proportional to 105,919.48, 158,902.08 and 35,797.24 is: 53,703.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,919.48 : 158,902.08 = 35,797.24 : x
  2. Step 2: Convert to fraction form
    105,919.48/158,902.08 = 35,797.24/x
  3. Step 3: Cross multiply
    105,919.48x = 158,902.08 × 35,797.24
  4. Step 4: Simplify right side
    105,919.48x = 5,688,255,894.26
  5. Step 5: Solve for x
    x = 5,688,255,894.26/105,919.48
  6. Step 6: Final answer
    x = 53,703.59

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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.