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Finding the Fourth Proportional to 63,824, 95,736 and 17,075.66

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Solution

The fourth proportional to 63,824, 95,736 and 17,075.66 is: 25,613.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,824 : 95,736 = 17,075.66 : x
  2. Step 2: Convert to fraction form
    63,824/95,736 = 17,075.66/x
  3. Step 3: Cross multiply
    63,824x = 95,736 × 17,075.66
  4. Step 4: Simplify right side
    63,824x = 1,634,755,385.76
  5. Step 5: Solve for x
    x = 1,634,755,385.76/63,824
  6. Step 6: Final answer
    x = 25,613.49

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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.