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Finding the Fourth Proportional to 38,200.87, 52,714.56 and 21,203.77

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Solution

The fourth proportional to 38,200.87, 52,714.56 and 21,203.77 is: 29,259.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,200.87 : 52,714.56 = 21,203.77 : x
  2. Step 2: Convert to fraction form
    38,200.87/52,714.56 = 21,203.77/x
  3. Step 3: Cross multiply
    38,200.87x = 52,714.56 × 21,203.77
  4. Step 4: Simplify right side
    38,200.87x = 1,117,747,405.89
  5. Step 5: Solve for x
    x = 1,117,747,405.89/38,200.87
  6. Step 6: Final answer
    x = 29,259.74

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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.