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Finding the Fourth Proportional to 68,122.98, 102,184.74 and 23,749.64

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Solution

The fourth proportional to 68,122.98, 102,184.74 and 23,749.64 is: 35,624.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,122.98 : 102,184.74 = 23,749.64 : x
  2. Step 2: Convert to fraction form
    68,122.98/102,184.74 = 23,749.64/x
  3. Step 3: Cross multiply
    68,122.98x = 102,184.74 × 23,749.64
  4. Step 4: Simplify right side
    68,122.98x = 2,426,850,788.49
  5. Step 5: Solve for x
    x = 2,426,850,788.49/68,122.98
  6. Step 6: Final answer
    x = 35,624.55

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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.