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Finding the Fourth Proportional to 110,604.32, 165,959.88 and 54,413.96

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Solution

The fourth proportional to 110,604.32, 165,959.88 and 54,413.96 is: 81,647.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,604.32 : 165,959.88 = 54,413.96 : x
  2. Step 2: Convert to fraction form
    110,604.32/165,959.88 = 54,413.96/x
  3. Step 3: Cross multiply
    110,604.32x = 165,959.88 × 54,413.96
  4. Step 4: Simplify right side
    110,604.32x = 9,030,534,271.92
  5. Step 5: Solve for x
    x = 9,030,534,271.92/110,604.32
  6. Step 6: Final answer
    x = 81,647.21

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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.