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Finding the Fourth Proportional to 33,152.08, 49,718.20 and 9,772.88

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Solution

The fourth proportional to 33,152.08, 49,718.20 and 9,772.88 is: 14,656.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,152.08 : 49,718.20 = 9,772.88 : x
  2. Step 2: Convert to fraction form
    33,152.08/49,718.20 = 9,772.88/x
  3. Step 3: Cross multiply
    33,152.08x = 49,718.20 × 9,772.88
  4. Step 4: Simplify right side
    33,152.08x = 485,890,002.42
  5. Step 5: Solve for x
    x = 485,890,002.42/33,152.08
  6. Step 6: Final answer
    x = 14,656.40

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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.