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Finding the Fourth Proportional to 46,206.80, 69,266.52 and 42,098

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Solution

The fourth proportional to 46,206.80, 69,266.52 and 42,098 is: 63,107.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,206.80 : 69,266.52 = 42,098 : x
  2. Step 2: Convert to fraction form
    46,206.80/69,266.52 = 42,098/x
  3. Step 3: Cross multiply
    46,206.80x = 69,266.52 × 42,098
  4. Step 4: Simplify right side
    46,206.80x = 2,915,981,958.96
  5. Step 5: Solve for x
    x = 2,915,981,958.96/46,206.80
  6. Step 6: Final answer
    x = 63,107.20

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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.