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Finding the Fourth Proportional to 55,266.84, 82,916.42 and 17,826.16

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Solution

The fourth proportional to 55,266.84, 82,916.42 and 17,826.16 is: 26,744.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,266.84 : 82,916.42 = 17,826.16 : x
  2. Step 2: Convert to fraction form
    55,266.84/82,916.42 = 17,826.16/x
  3. Step 3: Cross multiply
    55,266.84x = 82,916.42 × 17,826.16
  4. Step 4: Simplify right side
    55,266.84x = 1,478,081,369.55
  5. Step 5: Solve for x
    x = 1,478,081,369.55/55,266.84
  6. Step 6: Final answer
    x = 26,744.45

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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.