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Finding the Fourth Proportional to 67,043.32, 100,411.90 and 32,007.60

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Solution

The fourth proportional to 67,043.32, 100,411.90 and 32,007.60 is: 47,938.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,043.32 : 100,411.90 = 32,007.60 : x
  2. Step 2: Convert to fraction form
    67,043.32/100,411.90 = 32,007.60/x
  3. Step 3: Cross multiply
    67,043.32x = 100,411.90 × 32,007.60
  4. Step 4: Simplify right side
    67,043.32x = 3,213,943,930.44
  5. Step 5: Solve for x
    x = 3,213,943,930.44/67,043.32
  6. Step 6: Final answer
    x = 47,938.32

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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.