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Finding the Fourth Proportional to 53,397.47, 80,096.21 and 20,125

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Solution

The fourth proportional to 53,397.47, 80,096.21 and 20,125 is: 30,187.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,397.47 : 80,096.21 = 20,125 : x
  2. Step 2: Convert to fraction form
    53,397.47/80,096.21 = 20,125/x
  3. Step 3: Cross multiply
    53,397.47x = 80,096.21 × 20,125
  4. Step 4: Simplify right side
    53,397.47x = 1,611,936,226.25
  5. Step 5: Solve for x
    x = 1,611,936,226.25/53,397.47
  6. Step 6: Final answer
    x = 30,187.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.