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Finding the Fourth Proportional to 52,555.82, 78,786.84 and 19,268.11

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Solution

The fourth proportional to 52,555.82, 78,786.84 and 19,268.11 is: 28,884.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,555.82 : 78,786.84 = 19,268.11 : x
  2. Step 2: Convert to fraction form
    52,555.82/78,786.84 = 19,268.11/x
  3. Step 3: Cross multiply
    52,555.82x = 78,786.84 × 19,268.11
  4. Step 4: Simplify right side
    52,555.82x = 1,518,073,499.67
  5. Step 5: Solve for x
    x = 1,518,073,499.67/52,555.82
  6. Step 6: Final answer
    x = 28,884.97

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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.