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Finding the Fourth Proportional to 38,194.80, 52,707.38 and 21,199.80

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Solution

The fourth proportional to 38,194.80, 52,707.38 and 21,199.80 is: 29,254.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,194.80 : 52,707.38 = 21,199.80 : x
  2. Step 2: Convert to fraction form
    38,194.80/52,707.38 = 21,199.80/x
  3. Step 3: Cross multiply
    38,194.80x = 52,707.38 × 21,199.80
  4. Step 4: Simplify right side
    38,194.80x = 1,117,385,914.52
  5. Step 5: Solve for x
    x = 1,117,385,914.52/38,194.80
  6. Step 6: Final answer
    x = 29,254.92

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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.