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Finding the Fourth Proportional to 55,174.50, 76,140.81 and 30,024

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Solution

The fourth proportional to 55,174.50, 76,140.81 and 30,024 is: 41,433.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,174.50 : 76,140.81 = 30,024 : x
  2. Step 2: Convert to fraction form
    55,174.50/76,140.81 = 30,024/x
  3. Step 3: Cross multiply
    55,174.50x = 76,140.81 × 30,024
  4. Step 4: Simplify right side
    55,174.50x = 2,286,051,679.44
  5. Step 5: Solve for x
    x = 2,286,051,679.44/55,174.50
  6. Step 6: Final answer
    x = 41,433.12

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Why These Related Problems?

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