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Finding the Fourth Proportional to 31,855.32, 47,783.27 and 9,668.70

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Solution

The fourth proportional to 31,855.32, 47,783.27 and 9,668.70 is: 14,503.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,855.32 : 47,783.27 = 9,668.70 : x
  2. Step 2: Convert to fraction form
    31,855.32/47,783.27 = 9,668.70/x
  3. Step 3: Cross multiply
    31,855.32x = 47,783.27 × 9,668.70
  4. Step 4: Simplify right side
    31,855.32x = 462,002,054.31
  5. Step 5: Solve for x
    x = 462,002,054.31/31,855.32
  6. Step 6: Final answer
    x = 14,503.14

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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.