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Finding the Fourth Proportional to 32,886, 45,382.62 and 17,778.68

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Solution

The fourth proportional to 32,886, 45,382.62 and 17,778.68 is: 24,534.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,886 : 45,382.62 = 17,778.68 : x
  2. Step 2: Convert to fraction form
    32,886/45,382.62 = 17,778.68/x
  3. Step 3: Cross multiply
    32,886x = 45,382.62 × 17,778.68
  4. Step 4: Simplify right side
    32,886x = 806,843,078.54
  5. Step 5: Solve for x
    x = 806,843,078.54/32,886
  6. Step 6: Final answer
    x = 24,534.55

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Why These Related Problems?

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