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Finding the Fourth Proportional to 65,801.44, 98,742.66 and 30,744.64

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Solution

The fourth proportional to 65,801.44, 98,742.66 and 30,744.64 is: 46,135.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,801.44 : 98,742.66 = 30,744.64 : x
  2. Step 2: Convert to fraction form
    65,801.44/98,742.66 = 30,744.64/x
  3. Step 3: Cross multiply
    65,801.44x = 98,742.66 × 30,744.64
  4. Step 4: Simplify right side
    65,801.44x = 3,035,807,534.34
  5. Step 5: Solve for x
    x = 3,035,807,534.34/65,801.44
  6. Step 6: Final answer
    x = 46,135.88

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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.