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Finding the Fourth Proportional to 32,413.12, 48,628.32 and 11,636.80

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Solution

The fourth proportional to 32,413.12, 48,628.32 and 11,636.80 is: 17,458.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,413.12 : 48,628.32 = 11,636.80 : x
  2. Step 2: Convert to fraction form
    32,413.12/48,628.32 = 11,636.80/x
  3. Step 3: Cross multiply
    32,413.12x = 48,628.32 × 11,636.80
  4. Step 4: Simplify right side
    32,413.12x = 565,878,034.18
  5. Step 5: Solve for x
    x = 565,878,034.18/32,413.12
  6. Step 6: Final answer
    x = 17,458.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.