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Finding the Fourth Proportional to 39,494, 59,243.16 and 11,794.16

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Solution

The fourth proportional to 39,494, 59,243.16 and 11,794.16 is: 17,691.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,494 : 59,243.16 = 11,794.16 : x
  2. Step 2: Convert to fraction form
    39,494/59,243.16 = 11,794.16/x
  3. Step 3: Cross multiply
    39,494x = 59,243.16 × 11,794.16
  4. Step 4: Simplify right side
    39,494x = 698,723,307.95
  5. Step 5: Solve for x
    x = 698,723,307.95/39,494
  6. Step 6: Final answer
    x = 17,691.89

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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.