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Finding the Fourth Proportional to 32,413.10, 48,631.80 and 12,705.80

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Solution

The fourth proportional to 32,413.10, 48,631.80 and 12,705.80 is: 19,063.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,413.10 : 48,631.80 = 12,705.80 : x
  2. Step 2: Convert to fraction form
    32,413.10/48,631.80 = 12,705.80/x
  3. Step 3: Cross multiply
    32,413.10x = 48,631.80 × 12,705.80
  4. Step 4: Simplify right side
    32,413.10x = 617,905,924.44
  5. Step 5: Solve for x
    x = 617,905,924.44/32,413.10
  6. Step 6: Final answer
    x = 19,063.46

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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.