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Finding the Fourth Proportional to 31,208.70, 46,813.05 and 20,711.10

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Solution

The fourth proportional to 31,208.70, 46,813.05 and 20,711.10 is: 31,066.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,208.70 : 46,813.05 = 20,711.10 : x
  2. Step 2: Convert to fraction form
    31,208.70/46,813.05 = 20,711.10/x
  3. Step 3: Cross multiply
    31,208.70x = 46,813.05 × 20,711.10
  4. Step 4: Simplify right side
    31,208.70x = 969,549,759.86
  5. Step 5: Solve for x
    x = 969,549,759.86/31,208.70
  6. Step 6: Final answer
    x = 31,066.65

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Similar ratio
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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.