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Finding the Fourth Proportional to 100,541.87, 150,833.52 and 29,466.86

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Solution

The fourth proportional to 100,541.87, 150,833.52 and 29,466.86 is: 44,206.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,541.87 : 150,833.52 = 29,466.86 : x
  2. Step 2: Convert to fraction form
    100,541.87/150,833.52 = 29,466.86/x
  3. Step 3: Cross multiply
    100,541.87x = 150,833.52 × 29,466.86
  4. Step 4: Simplify right side
    100,541.87x = 4,444,590,594.23
  5. Step 5: Solve for x
    x = 4,444,590,594.23/100,541.87
  6. Step 6: Final answer
    x = 44,206.37

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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.