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Finding the Fourth Proportional to 32,458.56, 48,692.64 and 10,266.90

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Solution

The fourth proportional to 32,458.56, 48,692.64 and 10,266.90 is: 15,401.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,458.56 : 48,692.64 = 10,266.90 : x
  2. Step 2: Convert to fraction form
    32,458.56/48,692.64 = 10,266.90/x
  3. Step 3: Cross multiply
    32,458.56x = 48,692.64 × 10,266.90
  4. Step 4: Simplify right side
    32,458.56x = 499,922,465.62
  5. Step 5: Solve for x
    x = 499,922,465.62/32,458.56
  6. Step 6: Final answer
    x = 15,401.87

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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.