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Finding the Fourth Proportional to 68,277.25, 102,433.16 and 19,029.25

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Solution

The fourth proportional to 68,277.25, 102,433.16 and 19,029.25 is: 28,548.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,277.25 : 102,433.16 = 19,029.25 : x
  2. Step 2: Convert to fraction form
    68,277.25/102,433.16 = 19,029.25/x
  3. Step 3: Cross multiply
    68,277.25x = 102,433.16 × 19,029.25
  4. Step 4: Simplify right side
    68,277.25x = 1,949,226,209.93
  5. Step 5: Solve for x
    x = 1,949,226,209.93/68,277.25
  6. Step 6: Final answer
    x = 28,548.69

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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.