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Finding the Fourth Proportional to 78,208.68, 107,933.70 and 44,673.96

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Solution

The fourth proportional to 78,208.68, 107,933.70 and 44,673.96 is: 61,653.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,208.68 : 107,933.70 = 44,673.96 : x
  2. Step 2: Convert to fraction form
    78,208.68/107,933.70 = 44,673.96/x
  3. Step 3: Cross multiply
    78,208.68x = 107,933.70 × 44,673.96
  4. Step 4: Simplify right side
    78,208.68x = 4,821,825,796.45
  5. Step 5: Solve for x
    x = 4,821,825,796.45/78,208.68
  6. Step 6: Final answer
    x = 61,653.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.