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Finding the Fourth Proportional to 95,692.66, 143,468.62 and 32,495.78

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Solution

The fourth proportional to 95,692.66, 143,468.62 and 32,495.78 is: 48,719.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,692.66 : 143,468.62 = 32,495.78 : x
  2. Step 2: Convert to fraction form
    95,692.66/143,468.62 = 32,495.78/x
  3. Step 3: Cross multiply
    95,692.66x = 143,468.62 × 32,495.78
  4. Step 4: Simplify right side
    95,692.66x = 4,662,124,989.86
  5. Step 5: Solve for x
    x = 4,662,124,989.86/95,692.66
  6. Step 6: Final answer
    x = 48,719.78

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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.