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Finding the Fourth Proportional to 100,042.46, 150,107.42 and 37,698.38

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Solution

The fourth proportional to 100,042.46, 150,107.42 and 37,698.38 is: 56,564.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,042.46 : 150,107.42 = 37,698.38 : x
  2. Step 2: Convert to fraction form
    100,042.46/150,107.42 = 37,698.38/x
  3. Step 3: Cross multiply
    100,042.46x = 150,107.42 × 37,698.38
  4. Step 4: Simplify right side
    100,042.46x = 5,658,806,559.98
  5. Step 5: Solve for x
    x = 5,658,806,559.98/100,042.46
  6. Step 6: Final answer
    x = 56,564.05

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1.5x scale

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.