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Finding the Fourth Proportional to 32,965.51, 49,447.77 and 8,005.75

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Solution

The fourth proportional to 32,965.51, 49,447.77 and 8,005.75 is: 12,008.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,965.51 : 49,447.77 = 8,005.75 : x
  2. Step 2: Convert to fraction form
    32,965.51/49,447.77 = 8,005.75/x
  3. Step 3: Cross multiply
    32,965.51x = 49,447.77 × 8,005.75
  4. Step 4: Simplify right side
    32,965.51x = 395,866,484.68
  5. Step 5: Solve for x
    x = 395,866,484.68/32,965.51
  6. Step 6: Final answer
    x = 12,008.50

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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.