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Finding the Fourth Proportional to 38,684.67, 53,382.04 and 22,766.95

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Solution

The fourth proportional to 38,684.67, 53,382.04 and 22,766.95 is: 31,416.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,684.67 : 53,382.04 = 22,766.95 : x
  2. Step 2: Convert to fraction form
    38,684.67/53,382.04 = 22,766.95/x
  3. Step 3: Cross multiply
    38,684.67x = 53,382.04 × 22,766.95
  4. Step 4: Simplify right side
    38,684.67x = 1,215,346,235.58
  5. Step 5: Solve for x
    x = 1,215,346,235.58/38,684.67
  6. Step 6: Final answer
    x = 31,416.74

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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.