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Finding the Fourth Proportional to 77,584.46, 116,376.50 and 20,658.38

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Solution

The fourth proportional to 77,584.46, 116,376.50 and 20,658.38 is: 30,987.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,584.46 : 116,376.50 = 20,658.38 : x
  2. Step 2: Convert to fraction form
    77,584.46/116,376.50 = 20,658.38/x
  3. Step 3: Cross multiply
    77,584.46x = 116,376.50 × 20,658.38
  4. Step 4: Simplify right side
    77,584.46x = 2,404,149,960.07
  5. Step 5: Solve for x
    x = 2,404,149,960.07/77,584.46
  6. Step 6: Final answer
    x = 30,987.52

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