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Finding the Fourth Proportional to 32,280.66, 48,413.70 and 14,755.50

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Solution

The fourth proportional to 32,280.66, 48,413.70 and 14,755.50 is: 22,129.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,280.66 : 48,413.70 = 14,755.50 : x
  2. Step 2: Convert to fraction form
    32,280.66/48,413.70 = 14,755.50/x
  3. Step 3: Cross multiply
    32,280.66x = 48,413.70 × 14,755.50
  4. Step 4: Simplify right side
    32,280.66x = 714,368,350.35
  5. Step 5: Solve for x
    x = 714,368,350.35/32,280.66
  6. Step 6: Final answer
    x = 22,129.92

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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.