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Finding the Fourth Proportional to 30,815.61, 46,000.49 and 27,078.92

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Solution

The fourth proportional to 30,815.61, 46,000.49 and 27,078.92 is: 40,422.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,815.61 : 46,000.49 = 27,078.92 : x
  2. Step 2: Convert to fraction form
    30,815.61/46,000.49 = 27,078.92/x
  3. Step 3: Cross multiply
    30,815.61x = 46,000.49 × 27,078.92
  4. Step 4: Simplify right side
    30,815.61x = 1,245,643,588.67
  5. Step 5: Solve for x
    x = 1,245,643,588.67/30,815.61
  6. Step 6: Final answer
    x = 40,422.49

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.