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Finding the Fourth Proportional to 46,642.50, 69,963.75 and 17,044.20

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Solution

The fourth proportional to 46,642.50, 69,963.75 and 17,044.20 is: 25,566.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,642.50 : 69,963.75 = 17,044.20 : x
  2. Step 2: Convert to fraction form
    46,642.50/69,963.75 = 17,044.20/x
  3. Step 3: Cross multiply
    46,642.50x = 69,963.75 × 17,044.20
  4. Step 4: Simplify right side
    46,642.50x = 1,192,476,147.75
  5. Step 5: Solve for x
    x = 1,192,476,147.75/46,642.50
  6. Step 6: Final answer
    x = 25,566.30

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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.