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Finding the Fourth Proportional to 69,206.12, 103,674.31 and 43,827.81

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Solution

The fourth proportional to 69,206.12, 103,674.31 and 43,827.81 is: 65,656.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,206.12 : 103,674.31 = 43,827.81 : x
  2. Step 2: Convert to fraction form
    69,206.12/103,674.31 = 43,827.81/x
  3. Step 3: Cross multiply
    69,206.12x = 103,674.31 × 43,827.81
  4. Step 4: Simplify right side
    69,206.12x = 4,543,817,960.56
  5. Step 5: Solve for x
    x = 4,543,817,960.56/69,206.12
  6. Step 6: Final answer
    x = 65,656.30

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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.