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Finding the Fourth Proportional to 68,277.98, 102,416.97 and 21,534.50

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Solution

The fourth proportional to 68,277.98, 102,416.97 and 21,534.50 is: 32,301.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,277.98 : 102,416.97 = 21,534.50 : x
  2. Step 2: Convert to fraction form
    68,277.98/102,416.97 = 21,534.50/x
  3. Step 3: Cross multiply
    68,277.98x = 102,416.97 × 21,534.50
  4. Step 4: Simplify right side
    68,277.98x = 2,205,498,240.47
  5. Step 5: Solve for x
    x = 2,205,498,240.47/68,277.98
  6. Step 6: Final answer
    x = 32,301.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.