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Finding the Fourth Proportional to 84,294.63, 126,399.78 and 46,880.55

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Solution

The fourth proportional to 84,294.63, 126,399.78 and 46,880.55 is: 70,297.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,294.63 : 126,399.78 = 46,880.55 : x
  2. Step 2: Convert to fraction form
    84,294.63/126,399.78 = 46,880.55/x
  3. Step 3: Cross multiply
    84,294.63x = 126,399.78 × 46,880.55
  4. Step 4: Simplify right side
    84,294.63x = 5,925,691,206.28
  5. Step 5: Solve for x
    x = 5,925,691,206.28/84,294.63
  6. Step 6: Final answer
    x = 70,297.37

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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.