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Finding the Fourth Proportional to 30,971.41, 46,457.37 and 9,911.62

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Solution

The fourth proportional to 30,971.41, 46,457.37 and 9,911.62 is: 14,867.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,971.41 : 46,457.37 = 9,911.62 : x
  2. Step 2: Convert to fraction form
    30,971.41/46,457.37 = 9,911.62/x
  3. Step 3: Cross multiply
    30,971.41x = 46,457.37 × 9,911.62
  4. Step 4: Simplify right side
    30,971.41x = 460,467,797.64
  5. Step 5: Solve for x
    x = 460,467,797.64/30,971.41
  6. Step 6: Final answer
    x = 14,867.51

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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.