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Finding the Fourth Proportional to 77,712.89, 116,540.78 and 27,779.45

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Solution

The fourth proportional to 77,712.89, 116,540.78 and 27,779.45 is: 41,658.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,712.89 : 116,540.78 = 27,779.45 : x
  2. Step 2: Convert to fraction form
    77,712.89/116,540.78 = 27,779.45/x
  3. Step 3: Cross multiply
    77,712.89x = 116,540.78 × 27,779.45
  4. Step 4: Simplify right side
    77,712.89x = 3,237,438,049.37
  5. Step 5: Solve for x
    x = 3,237,438,049.37/77,712.89
  6. Step 6: Final answer
    x = 41,658.96

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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.