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Finding the Fourth Proportional to 77,361.94, 116,044.53 and 24,771.27

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Solution

The fourth proportional to 77,361.94, 116,044.53 and 24,771.27 is: 37,157.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,361.94 : 116,044.53 = 24,771.27 : x
  2. Step 2: Convert to fraction form
    77,361.94/116,044.53 = 24,771.27/x
  3. Step 3: Cross multiply
    77,361.94x = 116,044.53 × 24,771.27
  4. Step 4: Simplify right side
    77,361.94x = 2,874,570,322.72
  5. Step 5: Solve for x
    x = 2,874,570,322.72/77,361.94
  6. Step 6: Final answer
    x = 37,157.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.