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Finding the Fourth Proportional to 111,293.46, 166,966.65 and 36,413.82

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Solution

The fourth proportional to 111,293.46, 166,966.65 and 36,413.82 is: 54,629.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,293.46 : 166,966.65 = 36,413.82 : x
  2. Step 2: Convert to fraction form
    111,293.46/166,966.65 = 36,413.82/x
  3. Step 3: Cross multiply
    111,293.46x = 166,966.65 × 36,413.82
  4. Step 4: Simplify right side
    111,293.46x = 6,079,893,539.10
  5. Step 5: Solve for x
    x = 6,079,893,539.10/111,293.46
  6. Step 6: Final answer
    x = 54,629.39

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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.