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Finding the Fourth Proportional to 32,964.49, 49,380.49 and 15,170.32

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Solution

The fourth proportional to 32,964.49, 49,380.49 and 15,170.32 is: 22,724.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,964.49 : 49,380.49 = 15,170.32 : x
  2. Step 2: Convert to fraction form
    32,964.49/49,380.49 = 15,170.32/x
  3. Step 3: Cross multiply
    32,964.49x = 49,380.49 × 15,170.32
  4. Step 4: Simplify right side
    32,964.49x = 749,117,835.06
  5. Step 5: Solve for x
    x = 749,117,835.06/32,964.49
  6. Step 6: Final answer
    x = 22,724.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.