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Finding the Fourth Proportional to 32,453.30, 48,701.55 and 18,413.30

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Solution

The fourth proportional to 32,453.30, 48,701.55 and 18,413.30 is: 27,632.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,453.30 : 48,701.55 = 18,413.30 : x
  2. Step 2: Convert to fraction form
    32,453.30/48,701.55 = 18,413.30/x
  3. Step 3: Cross multiply
    32,453.30x = 48,701.55 × 18,413.30
  4. Step 4: Simplify right side
    32,453.30x = 896,756,250.62
  5. Step 5: Solve for x
    x = 896,756,250.62/32,453.30
  6. Step 6: Final answer
    x = 27,632.21

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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.