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Finding the Fourth Proportional to 50,675.84, 69,932.16 and 28,319.84

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Solution

The fourth proportional to 50,675.84, 69,932.16 and 28,319.84 is: 39,081.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,675.84 : 69,932.16 = 28,319.84 : x
  2. Step 2: Convert to fraction form
    50,675.84/69,932.16 = 28,319.84/x
  3. Step 3: Cross multiply
    50,675.84x = 69,932.16 × 28,319.84
  4. Step 4: Simplify right side
    50,675.84x = 1,980,467,582.05
  5. Step 5: Solve for x
    x = 1,980,467,582.05/50,675.84
  6. Step 6: Final answer
    x = 39,081.10

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