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Finding the Fourth Proportional to 65,847.96, 98,744.58 and 40,850.46

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Solution

The fourth proportional to 65,847.96, 98,744.58 and 40,850.46 is: 61,258.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,847.96 : 98,744.58 = 40,850.46 : x
  2. Step 2: Convert to fraction form
    65,847.96/98,744.58 = 40,850.46/x
  3. Step 3: Cross multiply
    65,847.96x = 98,744.58 × 40,850.46
  4. Step 4: Simplify right side
    65,847.96x = 4,033,761,515.51
  5. Step 5: Solve for x
    x = 4,033,761,515.51/65,847.96
  6. Step 6: Final answer
    x = 61,258.72

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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.