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Finding the Fourth Proportional to 211,787.82, 317,692.62 and 54,017.64

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Solution

The fourth proportional to 211,787.82, 317,692.62 and 54,017.64 is: 81,029.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,787.82 : 317,692.62 = 54,017.64 : x
  2. Step 2: Convert to fraction form
    211,787.82/317,692.62 = 54,017.64/x
  3. Step 3: Cross multiply
    211,787.82x = 317,692.62 × 54,017.64
  4. Step 4: Simplify right side
    211,787.82x = 17,161,005,577.82
  5. Step 5: Solve for x
    x = 17,161,005,577.82/211,787.82
  6. Step 6: Final answer
    x = 81,029.24

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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.