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Finding the Fourth Proportional to 30,885.30, 46,291.80 and 27,382

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Solution

The fourth proportional to 30,885.30, 46,291.80 and 27,382 is: 41,040.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,885.30 : 46,291.80 = 27,382 : x
  2. Step 2: Convert to fraction form
    30,885.30/46,291.80 = 27,382/x
  3. Step 3: Cross multiply
    30,885.30x = 46,291.80 × 27,382
  4. Step 4: Simplify right side
    30,885.30x = 1,267,562,067.60
  5. Step 5: Solve for x
    x = 1,267,562,067.60/30,885.30
  6. Step 6: Final answer
    x = 41,040.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.