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Finding the Fourth Proportional to 31,207.70, 46,811.55 and 13,711.70

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Solution

The fourth proportional to 31,207.70, 46,811.55 and 13,711.70 is: 20,567.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,207.70 : 46,811.55 = 13,711.70 : x
  2. Step 2: Convert to fraction form
    31,207.70/46,811.55 = 13,711.70/x
  3. Step 3: Cross multiply
    31,207.70x = 46,811.55 × 13,711.70
  4. Step 4: Simplify right side
    31,207.70x = 641,865,930.14
  5. Step 5: Solve for x
    x = 641,865,930.14/31,207.70
  6. Step 6: Final answer
    x = 20,567.55

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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.