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Finding the Fourth Proportional to 32,646.75, 48,992.01 and 20,968.17

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Solution

The fourth proportional to 32,646.75, 48,992.01 and 20,968.17 is: 31,466.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,646.75 : 48,992.01 = 20,968.17 : x
  2. Step 2: Convert to fraction form
    32,646.75/48,992.01 = 20,968.17/x
  3. Step 3: Cross multiply
    32,646.75x = 48,992.01 × 20,968.17
  4. Step 4: Simplify right side
    32,646.75x = 1,027,272,794.32
  5. Step 5: Solve for x
    x = 1,027,272,794.32/32,646.75
  6. Step 6: Final answer
    x = 31,466.31

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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.