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Finding the Fourth Proportional to 32,956.80, 49,406.04 and 12,156

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Solution

The fourth proportional to 32,956.80, 49,406.04 and 12,156 is: 18,223.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,956.80 : 49,406.04 = 12,156 : x
  2. Step 2: Convert to fraction form
    32,956.80/49,406.04 = 12,156/x
  3. Step 3: Cross multiply
    32,956.80x = 49,406.04 × 12,156
  4. Step 4: Simplify right side
    32,956.80x = 600,579,822.24
  5. Step 5: Solve for x
    x = 600,579,822.24/32,956.80
  6. Step 6: Final answer
    x = 18,223.24

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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.