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Finding the Fourth Proportional to 73,609.10, 110,413.69 and 23,689.20

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Solution

The fourth proportional to 73,609.10, 110,413.69 and 23,689.20 is: 35,533.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,609.10 : 110,413.69 = 23,689.20 : x
  2. Step 2: Convert to fraction form
    73,609.10/110,413.69 = 23,689.20/x
  3. Step 3: Cross multiply
    73,609.10x = 110,413.69 × 23,689.20
  4. Step 4: Simplify right side
    73,609.10x = 2,615,611,985.15
  5. Step 5: Solve for x
    x = 2,615,611,985.15/73,609.10
  6. Step 6: Final answer
    x = 35,533.81

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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.