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Finding the Fourth Proportional to 77,794.90, 116,653.21 and 45,347.54

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Solution

The fourth proportional to 77,794.90, 116,653.21 and 45,347.54 is: 67,998.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,794.90 : 116,653.21 = 45,347.54 : x
  2. Step 2: Convert to fraction form
    77,794.90/116,653.21 = 45,347.54/x
  3. Step 3: Cross multiply
    77,794.90x = 116,653.21 × 45,347.54
  4. Step 4: Simplify right side
    77,794.90x = 5,289,936,106.60
  5. Step 5: Solve for x
    x = 5,289,936,106.60/77,794.90
  6. Step 6: Final answer
    x = 67,998.49

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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.