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Finding the Fourth Proportional to 100,083.42, 150,040.34 and 43,880.93

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Solution

The fourth proportional to 100,083.42, 150,040.34 and 43,880.93 is: 65,784.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,083.42 : 150,040.34 = 43,880.93 : x
  2. Step 2: Convert to fraction form
    100,083.42/150,040.34 = 43,880.93/x
  3. Step 3: Cross multiply
    100,083.42x = 150,040.34 × 43,880.93
  4. Step 4: Simplify right side
    100,083.42x = 6,583,909,437.31
  5. Step 5: Solve for x
    x = 6,583,909,437.31/100,083.42
  6. Step 6: Final answer
    x = 65,784.22

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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.