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Finding the Fourth Proportional to 31,104.70, 46,657.05 and 19,440.70

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Solution

The fourth proportional to 31,104.70, 46,657.05 and 19,440.70 is: 29,161.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,104.70 : 46,657.05 = 19,440.70 : x
  2. Step 2: Convert to fraction form
    31,104.70/46,657.05 = 19,440.70/x
  3. Step 3: Cross multiply
    31,104.70x = 46,657.05 × 19,440.70
  4. Step 4: Simplify right side
    31,104.70x = 907,045,711.94
  5. Step 5: Solve for x
    x = 907,045,711.94/31,104.70
  6. Step 6: Final answer
    x = 29,161.05

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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.