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Finding the Fourth Proportional to 51,438.90, 77,144.85 and 21,841.50

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Solution

The fourth proportional to 51,438.90, 77,144.85 and 21,841.50 is: 32,756.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,438.90 : 77,144.85 = 21,841.50 : x
  2. Step 2: Convert to fraction form
    51,438.90/77,144.85 = 21,841.50/x
  3. Step 3: Cross multiply
    51,438.90x = 77,144.85 × 21,841.50
  4. Step 4: Simplify right side
    51,438.90x = 1,684,959,241.28
  5. Step 5: Solve for x
    x = 1,684,959,241.28/51,438.90
  6. Step 6: Final answer
    x = 32,756.52

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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.