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Finding the Fourth Proportional to 68,977, 103,465.50 and 19,729

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Solution

The fourth proportional to 68,977, 103,465.50 and 19,729 is: 29,593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,977 : 103,465.50 = 19,729 : x
  2. Step 2: Convert to fraction form
    68,977/103,465.50 = 19,729/x
  3. Step 3: Cross multiply
    68,977x = 103,465.50 × 19,729
  4. Step 4: Simplify right side
    68,977x = 2,041,270,849.50
  5. Step 5: Solve for x
    x = 2,041,270,849.50/68,977
  6. Step 6: Final answer
    x = 29,593.50

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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.