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Finding the Fourth Proportional to 32,827.84, 49,168.32 and 15,271.36

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Solution

The fourth proportional to 32,827.84, 49,168.32 and 15,271.36 is: 22,872.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,827.84 : 49,168.32 = 15,271.36 : x
  2. Step 2: Convert to fraction form
    32,827.84/49,168.32 = 15,271.36/x
  3. Step 3: Cross multiply
    32,827.84x = 49,168.32 × 15,271.36
  4. Step 4: Simplify right side
    32,827.84x = 750,867,115.32
  5. Step 5: Solve for x
    x = 750,867,115.32/32,827.84
  6. Step 6: Final answer
    x = 22,872.88

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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.