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Finding the Fourth Proportional to 34,992, 48,288.96 and 22,416.75

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Solution

The fourth proportional to 34,992, 48,288.96 and 22,416.75 is: 30,935.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,992 : 48,288.96 = 22,416.75 : x
  2. Step 2: Convert to fraction form
    34,992/48,288.96 = 22,416.75/x
  3. Step 3: Cross multiply
    34,992x = 48,288.96 × 22,416.75
  4. Step 4: Simplify right side
    34,992x = 1,082,481,544.08
  5. Step 5: Solve for x
    x = 1,082,481,544.08/34,992
  6. Step 6: Final answer
    x = 30,935.12

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1.5x scale

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.