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Finding the Fourth Proportional to 73,172.64, 100,978.41 and 39,638.64

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Solution

The fourth proportional to 73,172.64, 100,978.41 and 39,638.64 is: 54,701.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,172.64 : 100,978.41 = 39,638.64 : x
  2. Step 2: Convert to fraction form
    73,172.64/100,978.41 = 39,638.64/x
  3. Step 3: Cross multiply
    73,172.64x = 100,978.41 × 39,638.64
  4. Step 4: Simplify right side
    73,172.64x = 4,002,646,841.76
  5. Step 5: Solve for x
    x = 4,002,646,841.76/73,172.64
  6. Step 6: Final answer
    x = 54,701.41

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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.