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Finding the Fourth Proportional to 30,843.69, 46,265.55 and 7,470.15

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Solution

The fourth proportional to 30,843.69, 46,265.55 and 7,470.15 is: 11,205.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,843.69 : 46,265.55 = 7,470.15 : x
  2. Step 2: Convert to fraction form
    30,843.69/46,265.55 = 7,470.15/x
  3. Step 3: Cross multiply
    30,843.69x = 46,265.55 × 7,470.15
  4. Step 4: Simplify right side
    30,843.69x = 345,610,598.33
  5. Step 5: Solve for x
    x = 345,610,598.33/30,843.69
  6. Step 6: Final answer
    x = 11,205.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.