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Finding the Fourth Proportional to 45,468.27, 68,202.41 and 13,878.50

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Solution

The fourth proportional to 45,468.27, 68,202.41 and 13,878.50 is: 20,817.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,468.27 : 68,202.41 = 13,878.50 : x
  2. Step 2: Convert to fraction form
    45,468.27/68,202.41 = 13,878.50/x
  3. Step 3: Cross multiply
    45,468.27x = 68,202.41 × 13,878.50
  4. Step 4: Simplify right side
    45,468.27x = 946,547,147.19
  5. Step 5: Solve for x
    x = 946,547,147.19/45,468.27
  6. Step 6: Final answer
    x = 20,817.75

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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.