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Finding the Fourth Proportional to 38,346.42, 52,913.34 and 21,346.41

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Solution

The fourth proportional to 38,346.42, 52,913.34 and 21,346.41 is: 29,455.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,346.42 : 52,913.34 = 21,346.41 : x
  2. Step 2: Convert to fraction form
    38,346.42/52,913.34 = 21,346.41/x
  3. Step 3: Cross multiply
    38,346.42x = 52,913.34 × 21,346.41
  4. Step 4: Simplify right side
    38,346.42x = 1,129,509,850.11
  5. Step 5: Solve for x
    x = 1,129,509,850.11/38,346.42
  6. Step 6: Final answer
    x = 29,455.42

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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.