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Finding the Fourth Proportional to 65,625.80, 98,435.26 and 18,876.84

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Solution

The fourth proportional to 65,625.80, 98,435.26 and 18,876.84 is: 28,314.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,625.80 : 98,435.26 = 18,876.84 : x
  2. Step 2: Convert to fraction form
    65,625.80/98,435.26 = 18,876.84/x
  3. Step 3: Cross multiply
    65,625.80x = 98,435.26 × 18,876.84
  4. Step 4: Simplify right side
    65,625.80x = 1,858,146,653.38
  5. Step 5: Solve for x
    x = 1,858,146,653.38/65,625.80
  6. Step 6: Final answer
    x = 28,314.27

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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.