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Finding the Fourth Proportional to 57,266.80, 85,906.60 and 17,823.60

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Solution

The fourth proportional to 57,266.80, 85,906.60 and 17,823.60 is: 26,737.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,266.80 : 85,906.60 = 17,823.60 : x
  2. Step 2: Convert to fraction form
    57,266.80/85,906.60 = 17,823.60/x
  3. Step 3: Cross multiply
    57,266.80x = 85,906.60 × 17,823.60
  4. Step 4: Simplify right side
    57,266.80x = 1,531,164,875.76
  5. Step 5: Solve for x
    x = 1,531,164,875.76/57,266.80
  6. Step 6: Final answer
    x = 26,737.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.