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Finding the Fourth Proportional to 27,779.82, 41,651.16 and 15,305.82

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Solution

The fourth proportional to 27,779.82, 41,651.16 and 15,305.82 is: 22,948.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,779.82 : 41,651.16 = 15,305.82 : x
  2. Step 2: Convert to fraction form
    27,779.82/41,651.16 = 15,305.82/x
  3. Step 3: Cross multiply
    27,779.82x = 41,651.16 × 15,305.82
  4. Step 4: Simplify right side
    27,779.82x = 637,505,157.75
  5. Step 5: Solve for x
    x = 637,505,157.75/27,779.82
  6. Step 6: Final answer
    x = 22,948.50

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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.