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Finding the Fourth Proportional to 30,806.80, 46,231.80 and 19,740.40

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Solution

The fourth proportional to 30,806.80, 46,231.80 and 19,740.40 is: 29,624.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,806.80 : 46,231.80 = 19,740.40 : x
  2. Step 2: Convert to fraction form
    30,806.80/46,231.80 = 19,740.40/x
  3. Step 3: Cross multiply
    30,806.80x = 46,231.80 × 19,740.40
  4. Step 4: Simplify right side
    30,806.80x = 912,634,224.72
  5. Step 5: Solve for x
    x = 912,634,224.72/30,806.80
  6. Step 6: Final answer
    x = 29,624.44

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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.