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Finding the Fourth Proportional to 100,646.32, 150,942.48 and 47,950.96

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Solution

The fourth proportional to 100,646.32, 150,942.48 and 47,950.96 is: 71,913.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,646.32 : 150,942.48 = 47,950.96 : x
  2. Step 2: Convert to fraction form
    100,646.32/150,942.48 = 47,950.96/x
  3. Step 3: Cross multiply
    100,646.32x = 150,942.48 × 47,950.96
  4. Step 4: Simplify right side
    100,646.32x = 7,237,836,820.78
  5. Step 5: Solve for x
    x = 7,237,836,820.78/100,646.32
  6. Step 6: Final answer
    x = 71,913.58

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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.