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Finding the Fourth Proportional to 49,431.84, 74,147.74 and 19,849.67

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Solution

The fourth proportional to 49,431.84, 74,147.74 and 19,849.67 is: 29,774.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,431.84 : 74,147.74 = 19,849.67 : x
  2. Step 2: Convert to fraction form
    49,431.84/74,147.74 = 19,849.67/x
  3. Step 3: Cross multiply
    49,431.84x = 74,147.74 × 19,849.67
  4. Step 4: Simplify right side
    49,431.84x = 1,471,808,027.94
  5. Step 5: Solve for x
    x = 1,471,808,027.94/49,431.84
  6. Step 6: Final answer
    x = 29,774.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.