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Finding the Fourth Proportional to 43,625.36, 65,457.48 and 22,844

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Solution

The fourth proportional to 43,625.36, 65,457.48 and 22,844 is: 34,276.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,625.36 : 65,457.48 = 22,844 : x
  2. Step 2: Convert to fraction form
    43,625.36/65,457.48 = 22,844/x
  3. Step 3: Cross multiply
    43,625.36x = 65,457.48 × 22,844
  4. Step 4: Simplify right side
    43,625.36x = 1,495,310,673.12
  5. Step 5: Solve for x
    x = 1,495,310,673.12/43,625.36
  6. Step 6: Final answer
    x = 34,276.18

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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.