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Finding the Fourth Proportional to 30,803.39, 46,204.68 and 7,429.64

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Solution

The fourth proportional to 30,803.39, 46,204.68 and 7,429.64 is: 11,144.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,803.39 : 46,204.68 = 7,429.64 : x
  2. Step 2: Convert to fraction form
    30,803.39/46,204.68 = 7,429.64/x
  3. Step 3: Cross multiply
    30,803.39x = 46,204.68 × 7,429.64
  4. Step 4: Simplify right side
    30,803.39x = 343,284,138.72
  5. Step 5: Solve for x
    x = 343,284,138.72/30,803.39
  6. Step 6: Final answer
    x = 11,144.36

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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.