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Finding the Fourth Proportional to 31,897.87, 47,841.26 and 8,518.84

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Solution

The fourth proportional to 31,897.87, 47,841.26 and 8,518.84 is: 12,776.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,897.87 : 47,841.26 = 8,518.84 : x
  2. Step 2: Convert to fraction form
    31,897.87/47,841.26 = 8,518.84/x
  3. Step 3: Cross multiply
    31,897.87x = 47,841.26 × 8,518.84
  4. Step 4: Simplify right side
    31,897.87x = 407,551,800.13
  5. Step 5: Solve for x
    x = 407,551,800.13/31,897.87
  6. Step 6: Final answer
    x = 12,776.77

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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.