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Finding the Fourth Proportional to 51,381, 76,950.54 and 43,114.14

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Solution

The fourth proportional to 51,381, 76,950.54 and 43,114.14 is: 64,569.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,381 : 76,950.54 = 43,114.14 : x
  2. Step 2: Convert to fraction form
    51,381/76,950.54 = 43,114.14/x
  3. Step 3: Cross multiply
    51,381x = 76,950.54 × 43,114.14
  4. Step 4: Simplify right side
    51,381x = 3,317,656,354.64
  5. Step 5: Solve for x
    x = 3,317,656,354.64/51,381
  6. Step 6: Final answer
    x = 64,569.71

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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.