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Finding the Fourth Proportional to 30,950.36, 46,425 and 9,890.24

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Solution

The fourth proportional to 30,950.36, 46,425 and 9,890.24 is: 14,835.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,950.36 : 46,425 = 9,890.24 : x
  2. Step 2: Convert to fraction form
    30,950.36/46,425 = 9,890.24/x
  3. Step 3: Cross multiply
    30,950.36x = 46,425 × 9,890.24
  4. Step 4: Simplify right side
    30,950.36x = 459,154,392
  5. Step 5: Solve for x
    x = 459,154,392/30,950.36
  6. Step 6: Final answer
    x = 14,835.19

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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.