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Finding the Fourth Proportional to 50,408.32, 75,535.84 and 24,076.80

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Solution

The fourth proportional to 50,408.32, 75,535.84 and 24,076.80 is: 36,078.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,408.32 : 75,535.84 = 24,076.80 : x
  2. Step 2: Convert to fraction form
    50,408.32/75,535.84 = 24,076.80/x
  3. Step 3: Cross multiply
    50,408.32x = 75,535.84 × 24,076.80
  4. Step 4: Simplify right side
    50,408.32x = 1,818,661,312.51
  5. Step 5: Solve for x
    x = 1,818,661,312.51/50,408.32
  6. Step 6: Final answer
    x = 36,078.59

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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.