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Finding the Fourth Proportional to 68,006, 102,014.76 and 18,758

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Solution

The fourth proportional to 68,006, 102,014.76 and 18,758 is: 28,138.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,006 : 102,014.76 = 18,758 : x
  2. Step 2: Convert to fraction form
    68,006/102,014.76 = 18,758/x
  3. Step 3: Cross multiply
    68,006x = 102,014.76 × 18,758
  4. Step 4: Simplify right side
    68,006x = 1,913,592,868.08
  5. Step 5: Solve for x
    x = 1,913,592,868.08/68,006
  6. Step 6: Final answer
    x = 28,138.59

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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.