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Finding the Fourth Proportional to 110,603.16, 165,905.34 and 27,497.16

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Solution

The fourth proportional to 110,603.16, 165,905.34 and 27,497.16 is: 41,245.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,603.16 : 165,905.34 = 27,497.16 : x
  2. Step 2: Convert to fraction form
    110,603.16/165,905.34 = 27,497.16/x
  3. Step 3: Cross multiply
    110,603.16x = 165,905.34 × 27,497.16
  4. Step 4: Simplify right side
    110,603.16x = 4,561,925,108.25
  5. Step 5: Solve for x
    x = 4,561,925,108.25/110,603.16
  6. Step 6: Final answer
    x = 41,245.89

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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.