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Finding the Fourth Proportional to 30,808.38, 46,212.44 and 7,434.75

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Solution

The fourth proportional to 30,808.38, 46,212.44 and 7,434.75 is: 11,152.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,808.38 : 46,212.44 = 7,434.75 : x
  2. Step 2: Convert to fraction form
    30,808.38/46,212.44 = 7,434.75/x
  3. Step 3: Cross multiply
    30,808.38x = 46,212.44 × 7,434.75
  4. Step 4: Simplify right side
    30,808.38x = 343,577,901.12
  5. Step 5: Solve for x
    x = 343,577,901.12/30,808.38
  6. Step 6: Final answer
    x = 11,152.09

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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.