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Finding the Fourth Proportional to 110,649.38, 165,974.16 and 47,428.47

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Solution

The fourth proportional to 110,649.38, 165,974.16 and 47,428.47 is: 71,142.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,649.38 : 165,974.16 = 47,428.47 : x
  2. Step 2: Convert to fraction form
    110,649.38/165,974.16 = 47,428.47/x
  3. Step 3: Cross multiply
    110,649.38x = 165,974.16 × 47,428.47
  4. Step 4: Simplify right side
    110,649.38x = 7,871,900,468.34
  5. Step 5: Solve for x
    x = 7,871,900,468.34/110,649.38
  6. Step 6: Final answer
    x = 71,142.75

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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.