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Finding the Fourth Proportional to 38,194.68, 52,709.22 and 21,200.02

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Solution

The fourth proportional to 38,194.68, 52,709.22 and 21,200.02 is: 29,256.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,194.68 : 52,709.22 = 21,200.02 : x
  2. Step 2: Convert to fraction form
    38,194.68/52,709.22 = 21,200.02/x
  3. Step 3: Cross multiply
    38,194.68x = 52,709.22 × 21,200.02
  4. Step 4: Simplify right side
    38,194.68x = 1,117,436,386.41
  5. Step 5: Solve for x
    x = 1,117,436,386.41/38,194.68
  6. Step 6: Final answer
    x = 29,256.34

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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.