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Finding the Fourth Proportional to 30,796.08, 46,194.10 and 7,422.50

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Solution

The fourth proportional to 30,796.08, 46,194.10 and 7,422.50 is: 11,133.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,796.08 : 46,194.10 = 7,422.50 : x
  2. Step 2: Convert to fraction form
    30,796.08/46,194.10 = 7,422.50/x
  3. Step 3: Cross multiply
    30,796.08x = 46,194.10 × 7,422.50
  4. Step 4: Simplify right side
    30,796.08x = 342,875,707.25
  5. Step 5: Solve for x
    x = 342,875,707.25/30,796.08
  6. Step 6: Final answer
    x = 11,133.75

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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.