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Finding the Fourth Proportional to 30,196.37, 45,296.93 and 8,009.75

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Solution

The fourth proportional to 30,196.37, 45,296.93 and 8,009.75 is: 12,015.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,196.37 : 45,296.93 = 8,009.75 : x
  2. Step 2: Convert to fraction form
    30,196.37/45,296.93 = 8,009.75/x
  3. Step 3: Cross multiply
    30,196.37x = 45,296.93 × 8,009.75
  4. Step 4: Simplify right side
    30,196.37x = 362,817,218.33
  5. Step 5: Solve for x
    x = 362,817,218.33/30,196.37
  6. Step 6: Final answer
    x = 12,015.26

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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.