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Finding the Fourth Proportional to 52,838.82, 79,268.59 and 19,559.14

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Solution

The fourth proportional to 52,838.82, 79,268.59 and 19,559.14 is: 29,342.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,838.82 : 79,268.59 = 19,559.14 : x
  2. Step 2: Convert to fraction form
    52,838.82/79,268.59 = 19,559.14/x
  3. Step 3: Cross multiply
    52,838.82x = 79,268.59 × 19,559.14
  4. Step 4: Simplify right side
    52,838.82x = 1,550,425,449.41
  5. Step 5: Solve for x
    x = 1,550,425,449.41/52,838.82
  6. Step 6: Final answer
    x = 29,342.54

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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.