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Finding the Fourth Proportional to 35,272, 48,675.72 and 20,166.80

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Solution

The fourth proportional to 35,272, 48,675.72 and 20,166.80 is: 27,830.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,272 : 48,675.72 = 20,166.80 : x
  2. Step 2: Convert to fraction form
    35,272/48,675.72 = 20,166.80/x
  3. Step 3: Cross multiply
    35,272x = 48,675.72 × 20,166.80
  4. Step 4: Simplify right side
    35,272x = 981,633,510.10
  5. Step 5: Solve for x
    x = 981,633,510.10/35,272
  6. Step 6: Final answer
    x = 27,830.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.