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Finding the Fourth Proportional to 30,969.45, 46,457.26 and 9,904.20

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Solution

The fourth proportional to 30,969.45, 46,457.26 and 9,904.20 is: 14,857.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969.45 : 46,457.26 = 9,904.20 : x
  2. Step 2: Convert to fraction form
    30,969.45/46,457.26 = 9,904.20/x
  3. Step 3: Cross multiply
    30,969.45x = 46,457.26 × 9,904.20
  4. Step 4: Simplify right side
    30,969.45x = 460,121,940.11
  5. Step 5: Solve for x
    x = 460,121,940.11/30,969.45
  6. Step 6: Final answer
    x = 14,857.28

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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.