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Finding the Fourth Proportional to 32,413.46, 48,600.75 and 12,668.50

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Solution

The fourth proportional to 32,413.46, 48,600.75 and 12,668.50 is: 18,995.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,413.46 : 48,600.75 = 12,668.50 : x
  2. Step 2: Convert to fraction form
    32,413.46/48,600.75 = 12,668.50/x
  3. Step 3: Cross multiply
    32,413.46x = 48,600.75 × 12,668.50
  4. Step 4: Simplify right side
    32,413.46x = 615,698,601.38
  5. Step 5: Solve for x
    x = 615,698,601.38/32,413.46
  6. Step 6: Final answer
    x = 18,995.15

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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.