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Finding the Fourth Proportional to 38,451.60, 53,063.20 and 21,684.56

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Solution

The fourth proportional to 38,451.60, 53,063.20 and 21,684.56 is: 29,924.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,451.60 : 53,063.20 = 21,684.56 : x
  2. Step 2: Convert to fraction form
    38,451.60/53,063.20 = 21,684.56/x
  3. Step 3: Cross multiply
    38,451.60x = 53,063.20 × 21,684.56
  4. Step 4: Simplify right side
    38,451.60x = 1,150,652,144.19
  5. Step 5: Solve for x
    x = 1,150,652,144.19/38,451.60
  6. Step 6: Final answer
    x = 29,924.69

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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.