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Finding the Fourth Proportional to 65,226.44, 97,872.48 and 48,619.82

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Solution

The fourth proportional to 65,226.44, 97,872.48 and 48,619.82 is: 72,954.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,226.44 : 97,872.48 = 48,619.82 : x
  2. Step 2: Convert to fraction form
    65,226.44/97,872.48 = 48,619.82/x
  3. Step 3: Cross multiply
    65,226.44x = 97,872.48 × 48,619.82
  4. Step 4: Simplify right side
    65,226.44x = 4,758,541,871.19
  5. Step 5: Solve for x
    x = 4,758,541,871.19/65,226.44
  6. Step 6: Final answer
    x = 72,954.19

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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.