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Finding the Fourth Proportional to 32,124, 44,282.52 and 27,623.64

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Solution

The fourth proportional to 32,124, 44,282.52 and 27,623.64 is: 38,078.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,124 : 44,282.52 = 27,623.64 : x
  2. Step 2: Convert to fraction form
    32,124/44,282.52 = 27,623.64/x
  3. Step 3: Cross multiply
    32,124x = 44,282.52 × 27,623.64
  4. Step 4: Simplify right side
    32,124x = 1,223,244,390.77
  5. Step 5: Solve for x
    x = 1,223,244,390.77/32,124
  6. Step 6: Final answer
    x = 38,078.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.