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Finding the Fourth Proportional to 30,897.80, 46,346.70 and 8,711.90

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Solution

The fourth proportional to 30,897.80, 46,346.70 and 8,711.90 is: 13,067.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,897.80 : 46,346.70 = 8,711.90 : x
  2. Step 2: Convert to fraction form
    30,897.80/46,346.70 = 8,711.90/x
  3. Step 3: Cross multiply
    30,897.80x = 46,346.70 × 8,711.90
  4. Step 4: Simplify right side
    30,897.80x = 403,767,815.73
  5. Step 5: Solve for x
    x = 403,767,815.73/30,897.80
  6. Step 6: Final answer
    x = 13,067.85

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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.