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Finding the Fourth Proportional to 56,654.38, 78,183.55 and 30,813.16

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Solution

The fourth proportional to 56,654.38, 78,183.55 and 30,813.16 is: 42,522.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,654.38 : 78,183.55 = 30,813.16 : x
  2. Step 2: Convert to fraction form
    56,654.38/78,183.55 = 30,813.16/x
  3. Step 3: Cross multiply
    56,654.38x = 78,183.55 × 30,813.16
  4. Step 4: Simplify right side
    56,654.38x = 2,409,082,235.52
  5. Step 5: Solve for x
    x = 2,409,082,235.52/56,654.38
  6. Step 6: Final answer
    x = 42,522.44

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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.