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Finding the Fourth Proportional to 38,195.84, 52,710.72 and 21,200.42

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Solution

The fourth proportional to 38,195.84, 52,710.72 and 21,200.42 is: 29,256.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,195.84 : 52,710.72 = 21,200.42 : x
  2. Step 2: Convert to fraction form
    38,195.84/52,710.72 = 21,200.42/x
  3. Step 3: Cross multiply
    38,195.84x = 52,710.72 × 21,200.42
  4. Step 4: Simplify right side
    38,195.84x = 1,117,489,402.50
  5. Step 5: Solve for x
    x = 1,117,489,402.50/38,195.84
  6. Step 6: Final answer
    x = 29,256.84

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