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Finding the Fourth Proportional to 69,703.68, 104,543.16 and 31,744.24

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Solution

The fourth proportional to 69,703.68, 104,543.16 and 31,744.24 is: 47,610.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,703.68 : 104,543.16 = 31,744.24 : x
  2. Step 2: Convert to fraction form
    69,703.68/104,543.16 = 31,744.24/x
  3. Step 3: Cross multiply
    69,703.68x = 104,543.16 × 31,744.24
  4. Step 4: Simplify right side
    69,703.68x = 3,318,643,161.40
  5. Step 5: Solve for x
    x = 3,318,643,161.40/69,703.68
  6. Step 6: Final answer
    x = 47,610.73

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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.