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Finding the Fourth Proportional to 102,952.20, 154,413.90 and 32,838.60

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Solution

The fourth proportional to 102,952.20, 154,413.90 and 32,838.60 is: 49,253.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,952.20 : 154,413.90 = 32,838.60 : x
  2. Step 2: Convert to fraction form
    102,952.20/154,413.90 = 32,838.60/x
  3. Step 3: Cross multiply
    102,952.20x = 154,413.90 × 32,838.60
  4. Step 4: Simplify right side
    102,952.20x = 5,070,736,296.54
  5. Step 5: Solve for x
    x = 5,070,736,296.54/102,952.20
  6. Step 6: Final answer
    x = 49,253.31

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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.