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Finding the Fourth Proportional to 50,692.64, 75,922.32 and 40,467.20

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Solution

The fourth proportional to 50,692.64, 75,922.32 and 40,467.20 is: 60,607.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,692.64 : 75,922.32 = 40,467.20 : x
  2. Step 2: Convert to fraction form
    50,692.64/75,922.32 = 40,467.20/x
  3. Step 3: Cross multiply
    50,692.64x = 75,922.32 × 40,467.20
  4. Step 4: Simplify right side
    50,692.64x = 3,072,363,707.90
  5. Step 5: Solve for x
    x = 3,072,363,707.90/50,692.64
  6. Step 6: Final answer
    x = 60,607.69

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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.