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Finding the Fourth Proportional to 57,006.42, 85,513.32 and 21,946.08

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Solution

The fourth proportional to 57,006.42, 85,513.32 and 21,946.08 is: 32,920.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,006.42 : 85,513.32 = 21,946.08 : x
  2. Step 2: Convert to fraction form
    57,006.42/85,513.32 = 21,946.08/x
  3. Step 3: Cross multiply
    57,006.42x = 85,513.32 × 21,946.08
  4. Step 4: Simplify right side
    57,006.42x = 1,876,682,161.79
  5. Step 5: Solve for x
    x = 1,876,682,161.79/57,006.42
  6. Step 6: Final answer
    x = 32,920.54

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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.