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Finding the Fourth Proportional to 77,658.89, 116,458.78 and 27,729.69

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Solution

The fourth proportional to 77,658.89, 116,458.78 and 27,729.69 is: 41,583.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,658.89 : 116,458.78 = 27,729.69 : x
  2. Step 2: Convert to fraction form
    77,658.89/116,458.78 = 27,729.69/x
  3. Step 3: Cross multiply
    77,658.89x = 116,458.78 × 27,729.69
  4. Step 4: Simplify right side
    77,658.89x = 3,229,365,728.53
  5. Step 5: Solve for x
    x = 3,229,365,728.53/77,658.89
  6. Step 6: Final answer
    x = 41,583.98

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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.