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Finding the Fourth Proportional to 55,638.18, 83,457.99 and 18,198

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Solution

The fourth proportional to 55,638.18, 83,457.99 and 18,198 is: 27,297.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,638.18 : 83,457.99 = 18,198 : x
  2. Step 2: Convert to fraction form
    55,638.18/83,457.99 = 18,198/x
  3. Step 3: Cross multiply
    55,638.18x = 83,457.99 × 18,198
  4. Step 4: Simplify right side
    55,638.18x = 1,518,768,502.02
  5. Step 5: Solve for x
    x = 1,518,768,502.02/55,638.18
  6. Step 6: Final answer
    x = 27,297.24

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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.