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Finding the Fourth Proportional to 76,355, 114,540.60 and 20,951

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Solution

The fourth proportional to 76,355, 114,540.60 and 20,951 is: 31,428.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,355 : 114,540.60 = 20,951 : x
  2. Step 2: Convert to fraction form
    76,355/114,540.60 = 20,951/x
  3. Step 3: Cross multiply
    76,355x = 114,540.60 × 20,951
  4. Step 4: Simplify right side
    76,355x = 2,399,740,110.60
  5. Step 5: Solve for x
    x = 2,399,740,110.60/76,355
  6. Step 6: Final answer
    x = 31,428.72

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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.