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Finding the Fourth Proportional to 97,782.62, 146,632.62 and 41,620.46

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Solution

The fourth proportional to 97,782.62, 146,632.62 and 41,620.46 is: 62,413.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,782.62 : 146,632.62 = 41,620.46 : x
  2. Step 2: Convert to fraction form
    97,782.62/146,632.62 = 41,620.46/x
  3. Step 3: Cross multiply
    97,782.62x = 146,632.62 × 41,620.46
  4. Step 4: Simplify right side
    97,782.62x = 6,102,917,095.41
  5. Step 5: Solve for x
    x = 6,102,917,095.41/97,782.62
  6. Step 6: Final answer
    x = 62,413.11

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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.