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Finding the Fourth Proportional to 38,282.76, 52,830.36 and 21,514.68

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Solution

The fourth proportional to 38,282.76, 52,830.36 and 21,514.68 is: 29,690.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,282.76 : 52,830.36 = 21,514.68 : x
  2. Step 2: Convert to fraction form
    38,282.76/52,830.36 = 21,514.68/x
  3. Step 3: Cross multiply
    38,282.76x = 52,830.36 × 21,514.68
  4. Step 4: Simplify right side
    38,282.76x = 1,136,628,289.68
  5. Step 5: Solve for x
    x = 1,136,628,289.68/38,282.76
  6. Step 6: Final answer
    x = 29,690.34

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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.