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Finding the Fourth Proportional to 105,885.75, 158,852.31 and 35,763.24

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Solution

The fourth proportional to 105,885.75, 158,852.31 and 35,763.24 is: 53,652.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,885.75 : 158,852.31 = 35,763.24 : x
  2. Step 2: Convert to fraction form
    105,885.75/158,852.31 = 35,763.24/x
  3. Step 3: Cross multiply
    105,885.75x = 158,852.31 × 35,763.24
  4. Step 4: Simplify right side
    105,885.75x = 5,681,073,287.08
  5. Step 5: Solve for x
    x = 5,681,073,287.08/105,885.75
  6. Step 6: Final answer
    x = 53,652.86

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1.5x scale

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.