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Finding the Fourth Proportional to 77,876.50, 116,801.94 and 21,720.42

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Solution

The fourth proportional to 77,876.50, 116,801.94 and 21,720.42 is: 32,577.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,876.50 : 116,801.94 = 21,720.42 : x
  2. Step 2: Convert to fraction form
    77,876.50/116,801.94 = 21,720.42/x
  3. Step 3: Cross multiply
    77,876.50x = 116,801.94 × 21,720.42
  4. Step 4: Simplify right side
    77,876.50x = 2,536,987,193.61
  5. Step 5: Solve for x
    x = 2,536,987,193.61/77,876.50
  6. Step 6: Final answer
    x = 32,577.06

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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.