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Finding the Fourth Proportional to 32,464.10, 48,696.15 and 28,964.90

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Solution

The fourth proportional to 32,464.10, 48,696.15 and 28,964.90 is: 43,447.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,464.10 : 48,696.15 = 28,964.90 : x
  2. Step 2: Convert to fraction form
    32,464.10/48,696.15 = 28,964.90/x
  3. Step 3: Cross multiply
    32,464.10x = 48,696.15 × 28,964.90
  4. Step 4: Simplify right side
    32,464.10x = 1,410,479,115.14
  5. Step 5: Solve for x
    x = 1,410,479,115.14/32,464.10
  6. Step 6: Final answer
    x = 43,447.35

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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.