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Finding the Fourth Proportional to 68,492.16, 102,709.08 and 26,910

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Solution

The fourth proportional to 68,492.16, 102,709.08 and 26,910 is: 40,353.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,492.16 : 102,709.08 = 26,910 : x
  2. Step 2: Convert to fraction form
    68,492.16/102,709.08 = 26,910/x
  3. Step 3: Cross multiply
    68,492.16x = 102,709.08 × 26,910
  4. Step 4: Simplify right side
    68,492.16x = 2,763,901,342.80
  5. Step 5: Solve for x
    x = 2,763,901,342.80/68,492.16
  6. Step 6: Final answer
    x = 40,353.54

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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.