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Finding the Fourth Proportional to 32,886, 45,383.76 and 17,982

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Solution

The fourth proportional to 32,886, 45,383.76 and 17,982 is: 24,815.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,886 : 45,383.76 = 17,982 : x
  2. Step 2: Convert to fraction form
    32,886/45,383.76 = 17,982/x
  3. Step 3: Cross multiply
    32,886x = 45,383.76 × 17,982
  4. Step 4: Simplify right side
    32,886x = 816,090,772.32
  5. Step 5: Solve for x
    x = 816,090,772.32/32,886
  6. Step 6: Final answer
    x = 24,815.75

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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.