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Finding the Fourth Proportional to 69,507.42, 104,245.14 and 41,435.40

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Solution

The fourth proportional to 69,507.42, 104,245.14 and 41,435.40 is: 62,143.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,507.42 : 104,245.14 = 41,435.40 : x
  2. Step 2: Convert to fraction form
    69,507.42/104,245.14 = 41,435.40/x
  3. Step 3: Cross multiply
    69,507.42x = 104,245.14 × 41,435.40
  4. Step 4: Simplify right side
    69,507.42x = 4,319,439,073.96
  5. Step 5: Solve for x
    x = 4,319,439,073.96/69,507.42
  6. Step 6: Final answer
    x = 62,143.57

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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.