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Finding the Fourth Proportional to 68,309, 94,267.14 and 38,501

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Solution

The fourth proportional to 68,309, 94,267.14 and 38,501 is: 53,131.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,309 : 94,267.14 = 38,501 : x
  2. Step 2: Convert to fraction form
    68,309/94,267.14 = 38,501/x
  3. Step 3: Cross multiply
    68,309x = 94,267.14 × 38,501
  4. Step 4: Simplify right side
    68,309x = 3,629,379,157.14
  5. Step 5: Solve for x
    x = 3,629,379,157.14/68,309
  6. Step 6: Final answer
    x = 53,131.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.