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Finding the Fourth Proportional to 110,602.34, 165,903.45 and 27,496.34

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Solution

The fourth proportional to 110,602.34, 165,903.45 and 27,496.34 is: 41,244.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,602.34 : 165,903.45 = 27,496.34 : x
  2. Step 2: Convert to fraction form
    110,602.34/165,903.45 = 27,496.34/x
  3. Step 3: Cross multiply
    110,602.34x = 165,903.45 × 27,496.34
  4. Step 4: Simplify right side
    110,602.34x = 4,561,736,838.86
  5. Step 5: Solve for x
    x = 4,561,736,838.86/110,602.34
  6. Step 6: Final answer
    x = 41,244.49

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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.