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Finding the Fourth Proportional to 31,165.71, 46,771.11 and 12,193.14

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Solution

The fourth proportional to 31,165.71, 46,771.11 and 12,193.14 is: 18,298.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,165.71 : 46,771.11 = 12,193.14 : x
  2. Step 2: Convert to fraction form
    31,165.71/46,771.11 = 12,193.14/x
  3. Step 3: Cross multiply
    31,165.71x = 46,771.11 × 12,193.14
  4. Step 4: Simplify right side
    31,165.71x = 570,286,692.19
  5. Step 5: Solve for x
    x = 570,286,692.19/31,165.71
  6. Step 6: Final answer
    x = 18,298.53

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1.5x scale

Why These Related Problems?

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