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Finding the Fourth Proportional to 31,191, 46,771.92 and 10,399.92

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Solution

The fourth proportional to 31,191, 46,771.92 and 10,399.92 is: 15,595.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,191 : 46,771.92 = 10,399.92 : x
  2. Step 2: Convert to fraction form
    31,191/46,771.92 = 10,399.92/x
  3. Step 3: Cross multiply
    31,191x = 46,771.92 × 10,399.92
  4. Step 4: Simplify right side
    31,191x = 486,424,226.25
  5. Step 5: Solve for x
    x = 486,424,226.25/31,191
  6. Step 6: Final answer
    x = 15,595.02

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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.