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Finding the Fourth Proportional to 38,200.34, 52,715.44 and 21,204.54

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Solution

The fourth proportional to 38,200.34, 52,715.44 and 21,204.54 is: 29,261.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,200.34 : 52,715.44 = 21,204.54 : x
  2. Step 2: Convert to fraction form
    38,200.34/52,715.44 = 21,204.54/x
  3. Step 3: Cross multiply
    38,200.34x = 52,715.44 × 21,204.54
  4. Step 4: Simplify right side
    38,200.34x = 1,117,806,656.10
  5. Step 5: Solve for x
    x = 1,117,806,656.10/38,200.34
  6. Step 6: Final answer
    x = 29,261.69

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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.