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Finding the Fourth Proportional to 32,453.80, 48,702.30 and 18,413.80

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Solution

The fourth proportional to 32,453.80, 48,702.30 and 18,413.80 is: 27,632.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,453.80 : 48,702.30 = 18,413.80 : x
  2. Step 2: Convert to fraction form
    32,453.80/48,702.30 = 18,413.80/x
  3. Step 3: Cross multiply
    32,453.80x = 48,702.30 × 18,413.80
  4. Step 4: Simplify right side
    32,453.80x = 896,794,411.74
  5. Step 5: Solve for x
    x = 896,794,411.74/32,453.80
  6. Step 6: Final answer
    x = 27,632.96

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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.