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Finding the Fourth Proportional to 32,612.90, 48,895.44 and 10,413.48

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Solution

The fourth proportional to 32,612.90, 48,895.44 and 10,413.48 is: 15,612.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,612.90 : 48,895.44 = 10,413.48 : x
  2. Step 2: Convert to fraction form
    32,612.90/48,895.44 = 10,413.48/x
  3. Step 3: Cross multiply
    32,612.90x = 48,895.44 × 10,413.48
  4. Step 4: Simplify right side
    32,612.90x = 509,171,686.53
  5. Step 5: Solve for x
    x = 509,171,686.53/32,612.90
  6. Step 6: Final answer
    x = 15,612.59

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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.