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Finding the Fourth Proportional to 32,965.01, 49,447.02 and 8,005.25

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Solution

The fourth proportional to 32,965.01, 49,447.02 and 8,005.25 is: 12,007.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,965.01 : 49,447.02 = 8,005.25 : x
  2. Step 2: Convert to fraction form
    32,965.01/49,447.02 = 8,005.25/x
  3. Step 3: Cross multiply
    32,965.01x = 49,447.02 × 8,005.25
  4. Step 4: Simplify right side
    32,965.01x = 395,835,756.86
  5. Step 5: Solve for x
    x = 395,835,756.86/32,965.01
  6. Step 6: Final answer
    x = 12,007.75

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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.