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Finding the Fourth Proportional to 82,596.51, 123,824.57 and 32,711.72

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Solution

The fourth proportional to 82,596.51, 123,824.57 and 32,711.72 is: 49,039.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,596.51 : 123,824.57 = 32,711.72 : x
  2. Step 2: Convert to fraction form
    82,596.51/123,824.57 = 32,711.72/x
  3. Step 3: Cross multiply
    82,596.51x = 123,824.57 × 32,711.72
  4. Step 4: Simplify right side
    82,596.51x = 4,050,513,880.28
  5. Step 5: Solve for x
    x = 4,050,513,880.28/82,596.51
  6. Step 6: Final answer
    x = 49,039.77

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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.