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Finding the Fourth Proportional to 38,114.20, 52,597.62 and 20,886.49

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Solution

The fourth proportional to 38,114.20, 52,597.62 and 20,886.49 is: 28,823.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,114.20 : 52,597.62 = 20,886.49 : x
  2. Step 2: Convert to fraction form
    38,114.20/52,597.62 = 20,886.49/x
  3. Step 3: Cross multiply
    38,114.20x = 52,597.62 × 20,886.49
  4. Step 4: Simplify right side
    38,114.20x = 1,098,579,664.15
  5. Step 5: Solve for x
    x = 1,098,579,664.15/38,114.20
  6. Step 6: Final answer
    x = 28,823.37

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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.