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Finding the Fourth Proportional to 32,820, 49,206 and 12,043.68

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Solution

The fourth proportional to 32,820, 49,206 and 12,043.68 is: 18,056.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,820 : 49,206 = 12,043.68 : x
  2. Step 2: Convert to fraction form
    32,820/49,206 = 12,043.68/x
  3. Step 3: Cross multiply
    32,820x = 49,206 × 12,043.68
  4. Step 4: Simplify right side
    32,820x = 592,621,318.08
  5. Step 5: Solve for x
    x = 592,621,318.08/32,820
  6. Step 6: Final answer
    x = 18,056.71

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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.