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Finding the Fourth Proportional to 97,024.42, 133,893.50 and 54,583

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Solution

The fourth proportional to 97,024.42, 133,893.50 and 54,583 is: 75,324.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,024.42 : 133,893.50 = 54,583 : x
  2. Step 2: Convert to fraction form
    97,024.42/133,893.50 = 54,583/x
  3. Step 3: Cross multiply
    97,024.42x = 133,893.50 × 54,583
  4. Step 4: Simplify right side
    97,024.42x = 7,308,308,910.50
  5. Step 5: Solve for x
    x = 7,308,308,910.50/97,024.42
  6. Step 6: Final answer
    x = 75,324.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.