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Finding the Fourth Proportional to 70,880.44, 106,349.94 and 35,830.36

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Solution

The fourth proportional to 70,880.44, 106,349.94 and 35,830.36 is: 53,760.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,880.44 : 106,349.94 = 35,830.36 : x
  2. Step 2: Convert to fraction form
    70,880.44/106,349.94 = 35,830.36/x
  3. Step 3: Cross multiply
    70,880.44x = 106,349.94 × 35,830.36
  4. Step 4: Simplify right side
    70,880.44x = 3,810,556,636.18
  5. Step 5: Solve for x
    x = 3,810,556,636.18/70,880.44
  6. Step 6: Final answer
    x = 53,760.34

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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.