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Finding the Fourth Proportional to 34,846.58, 48,082.74 and 20,507.16

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Solution

The fourth proportional to 34,846.58, 48,082.74 and 20,507.16 is: 28,296.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,846.58 : 48,082.74 = 20,507.16 : x
  2. Step 2: Convert to fraction form
    34,846.58/48,082.74 = 20,507.16/x
  3. Step 3: Cross multiply
    34,846.58x = 48,082.74 × 20,507.16
  4. Step 4: Simplify right side
    34,846.58x = 986,040,442.42
  5. Step 5: Solve for x
    x = 986,040,442.42/34,846.58
  6. Step 6: Final answer
    x = 28,296.62

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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.