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Finding the Fourth Proportional to 32,640.36, 48,961.80 and 10,454.64

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Solution

The fourth proportional to 32,640.36, 48,961.80 and 10,454.64 is: 15,682.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,640.36 : 48,961.80 = 10,454.64 : x
  2. Step 2: Convert to fraction form
    32,640.36/48,961.80 = 10,454.64/x
  3. Step 3: Cross multiply
    32,640.36x = 48,961.80 × 10,454.64
  4. Step 4: Simplify right side
    32,640.36x = 511,877,992.75
  5. Step 5: Solve for x
    x = 511,877,992.75/32,640.36
  6. Step 6: Final answer
    x = 15,682.36

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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.