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Finding the Fourth Proportional to 110,282.49, 165,478.41 and 43,721.15

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Solution

The fourth proportional to 110,282.49, 165,478.41 and 43,721.15 is: 65,603.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,282.49 : 165,478.41 = 43,721.15 : x
  2. Step 2: Convert to fraction form
    110,282.49/165,478.41 = 43,721.15/x
  3. Step 3: Cross multiply
    110,282.49x = 165,478.41 × 43,721.15
  4. Step 4: Simplify right side
    110,282.49x = 7,234,905,557.98
  5. Step 5: Solve for x
    x = 7,234,905,557.98/110,282.49
  6. Step 6: Final answer
    x = 65,603.39

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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.