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Finding the Fourth Proportional to 32,005, 44,166.96 and 17,858.68

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Solution

The fourth proportional to 32,005, 44,166.96 and 17,858.68 is: 24,645.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,005 : 44,166.96 = 17,858.68 : x
  2. Step 2: Convert to fraction form
    32,005/44,166.96 = 17,858.68/x
  3. Step 3: Cross multiply
    32,005x = 44,166.96 × 17,858.68
  4. Step 4: Simplify right side
    32,005x = 788,763,605.21
  5. Step 5: Solve for x
    x = 788,763,605.21/32,005
  6. Step 6: Final answer
    x = 24,645.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.