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Finding the Fourth Proportional to 32,413.62, 48,629.07 and 11,637.30

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Solution

The fourth proportional to 32,413.62, 48,629.07 and 11,637.30 is: 17,459.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,413.62 : 48,629.07 = 11,637.30 : x
  2. Step 2: Convert to fraction form
    32,413.62/48,629.07 = 11,637.30/x
  3. Step 3: Cross multiply
    32,413.62x = 48,629.07 × 11,637.30
  4. Step 4: Simplify right side
    32,413.62x = 565,911,076.31
  5. Step 5: Solve for x
    x = 565,911,076.31/32,413.62
  6. Step 6: Final answer
    x = 17,459.05

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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.