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Finding the Fourth Proportional to 54,776.34, 82,206.07 and 36,964.84

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Solution

The fourth proportional to 54,776.34, 82,206.07 and 36,964.84 is: 55,475.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,776.34 : 82,206.07 = 36,964.84 : x
  2. Step 2: Convert to fraction form
    54,776.34/82,206.07 = 36,964.84/x
  3. Step 3: Cross multiply
    54,776.34x = 82,206.07 × 36,964.84
  4. Step 4: Simplify right side
    54,776.34x = 3,038,734,224.58
  5. Step 5: Solve for x
    x = 3,038,734,224.58/54,776.34
  6. Step 6: Final answer
    x = 55,475.31

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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.