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Finding the Fourth Proportional to 76,408.40, 114,515.40 and 36,880.40

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Solution

The fourth proportional to 76,408.40, 114,515.40 and 36,880.40 is: 55,273.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,408.40 : 114,515.40 = 36,880.40 : x
  2. Step 2: Convert to fraction form
    76,408.40/114,515.40 = 36,880.40/x
  3. Step 3: Cross multiply
    76,408.40x = 114,515.40 × 36,880.40
  4. Step 4: Simplify right side
    76,408.40x = 4,223,373,758.16
  5. Step 5: Solve for x
    x = 4,223,373,758.16/76,408.40
  6. Step 6: Final answer
    x = 55,273.68

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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.