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Finding the Fourth Proportional to 30,843.90, 46,265.70 and 7,470.34

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Solution

The fourth proportional to 30,843.90, 46,265.70 and 7,470.34 is: 11,205.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,843.90 : 46,265.70 = 7,470.34 : x
  2. Step 2: Convert to fraction form
    30,843.90/46,265.70 = 7,470.34/x
  3. Step 3: Cross multiply
    30,843.90x = 46,265.70 × 7,470.34
  4. Step 4: Simplify right side
    30,843.90x = 345,620,567.17
  5. Step 5: Solve for x
    x = 345,620,567.17/30,843.90
  6. Step 6: Final answer
    x = 11,205.47

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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.