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Finding the Fourth Proportional to 30,262.25, 45,400.67 and 9,485.75

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Solution

The fourth proportional to 30,262.25, 45,400.67 and 9,485.75 is: 14,230.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,262.25 : 45,400.67 = 9,485.75 : x
  2. Step 2: Convert to fraction form
    30,262.25/45,400.67 = 9,485.75/x
  3. Step 3: Cross multiply
    30,262.25x = 45,400.67 × 9,485.75
  4. Step 4: Simplify right side
    30,262.25x = 430,659,358.02
  5. Step 5: Solve for x
    x = 430,659,358.02/30,262.25
  6. Step 6: Final answer
    x = 14,230.91

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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.