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Finding the Fourth Proportional to 68,034, 102,051 and 26,481

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Solution

The fourth proportional to 68,034, 102,051 and 26,481 is: 39,721.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,034 : 102,051 = 26,481 : x
  2. Step 2: Convert to fraction form
    68,034/102,051 = 26,481/x
  3. Step 3: Cross multiply
    68,034x = 102,051 × 26,481
  4. Step 4: Simplify right side
    68,034x = 2,702,412,531
  5. Step 5: Solve for x
    x = 2,702,412,531/68,034
  6. Step 6: Final answer
    x = 39,721.50

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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.