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Finding the Fourth Proportional to 110,646.38, 165,969.66 and 47,425.47

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Solution

The fourth proportional to 110,646.38, 165,969.66 and 47,425.47 is: 71,138.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,646.38 : 165,969.66 = 47,425.47 : x
  2. Step 2: Convert to fraction form
    110,646.38/165,969.66 = 47,425.47/x
  3. Step 3: Cross multiply
    110,646.38x = 165,969.66 × 47,425.47
  4. Step 4: Simplify right side
    110,646.38x = 7,871,189,131.24
  5. Step 5: Solve for x
    x = 7,871,189,131.24/110,646.38
  6. Step 6: Final answer
    x = 71,138.25

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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.