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Finding the Fourth Proportional to 110,497.42, 165,746.01 and 27,391.42

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Solution

The fourth proportional to 110,497.42, 165,746.01 and 27,391.42 is: 41,087.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,497.42 : 165,746.01 = 27,391.42 : x
  2. Step 2: Convert to fraction form
    110,497.42/165,746.01 = 27,391.42/x
  3. Step 3: Cross multiply
    110,497.42x = 165,746.01 × 27,391.42
  4. Step 4: Simplify right side
    110,497.42x = 4,540,018,573.23
  5. Step 5: Solve for x
    x = 4,540,018,573.23/110,497.42
  6. Step 6: Final answer
    x = 41,087.10

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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.