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Finding the Fourth Proportional to 36,967.34, 51,013.86 and 20,200.34

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Solution

The fourth proportional to 36,967.34, 51,013.86 and 20,200.34 is: 27,875.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,967.34 : 51,013.86 = 20,200.34 : x
  2. Step 2: Convert to fraction form
    36,967.34/51,013.86 = 20,200.34/x
  3. Step 3: Cross multiply
    36,967.34x = 51,013.86 × 20,200.34
  4. Step 4: Simplify right side
    36,967.34x = 1,030,497,316.71
  5. Step 5: Solve for x
    x = 1,030,497,316.71/36,967.34
  6. Step 6: Final answer
    x = 27,875.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.