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Finding the Fourth Proportional to 72,031.80, 108,015.30 and 27,643.80

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Solution

The fourth proportional to 72,031.80, 108,015.30 and 27,643.80 is: 41,453.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,031.80 : 108,015.30 = 27,643.80 : x
  2. Step 2: Convert to fraction form
    72,031.80/108,015.30 = 27,643.80/x
  3. Step 3: Cross multiply
    72,031.80x = 108,015.30 × 27,643.80
  4. Step 4: Simplify right side
    72,031.80x = 2,985,953,350.14
  5. Step 5: Solve for x
    x = 2,985,953,350.14/72,031.80
  6. Step 6: Final answer
    x = 41,453.27

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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.