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Finding the Fourth Proportional to 30,809.07, 46,213.61 and 7,435.50

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Solution

The fourth proportional to 30,809.07, 46,213.61 and 7,435.50 is: 11,153.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,809.07 : 46,213.61 = 7,435.50 : x
  2. Step 2: Convert to fraction form
    30,809.07/46,213.61 = 7,435.50/x
  3. Step 3: Cross multiply
    30,809.07x = 46,213.61 × 7,435.50
  4. Step 4: Simplify right side
    30,809.07x = 343,621,259.98
  5. Step 5: Solve for x
    x = 343,621,259.98/30,809.07
  6. Step 6: Final answer
    x = 11,153.25

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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.