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Finding the Fourth Proportional to 32,275.60, 48,413.44 and 10,089.09

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Solution

The fourth proportional to 32,275.60, 48,413.44 and 10,089.09 is: 15,133.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,275.60 : 48,413.44 = 10,089.09 : x
  2. Step 2: Convert to fraction form
    32,275.60/48,413.44 = 10,089.09/x
  3. Step 3: Cross multiply
    32,275.60x = 48,413.44 × 10,089.09
  4. Step 4: Simplify right side
    32,275.60x = 488,447,553.37
  5. Step 5: Solve for x
    x = 488,447,553.37/32,275.60
  6. Step 6: Final answer
    x = 15,133.65

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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.