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Finding the Fourth Proportional to 32,152.96, 48,169.50 and 18,966.16

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Solution

The fourth proportional to 32,152.96, 48,169.50 and 18,966.16 is: 28,413.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,152.96 : 48,169.50 = 18,966.16 : x
  2. Step 2: Convert to fraction form
    32,152.96/48,169.50 = 18,966.16/x
  3. Step 3: Cross multiply
    32,152.96x = 48,169.50 × 18,966.16
  4. Step 4: Simplify right side
    32,152.96x = 913,590,444.12
  5. Step 5: Solve for x
    x = 913,590,444.12/32,152.96
  6. Step 6: Final answer
    x = 28,413.88

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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.