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Finding the Fourth Proportional to 73,296, 101,108.16 and 52,106.88

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Solution

The fourth proportional to 73,296, 101,108.16 and 52,106.88 is: 71,878.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,296 : 101,108.16 = 52,106.88 : x
  2. Step 2: Convert to fraction form
    73,296/101,108.16 = 52,106.88/x
  3. Step 3: Cross multiply
    73,296x = 101,108.16 × 52,106.88
  4. Step 4: Simplify right side
    73,296x = 5,268,430,760.14
  5. Step 5: Solve for x
    x = 5,268,430,760.14/73,296
  6. Step 6: Final answer
    x = 71,878.83

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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.