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Finding the Fourth Proportional to 50,582.68, 69,807.96 and 27,926.03

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Solution

The fourth proportional to 50,582.68, 69,807.96 and 27,926.03 is: 38,540.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,582.68 : 69,807.96 = 27,926.03 : x
  2. Step 2: Convert to fraction form
    50,582.68/69,807.96 = 27,926.03/x
  3. Step 3: Cross multiply
    50,582.68x = 69,807.96 × 27,926.03
  4. Step 4: Simplify right side
    50,582.68x = 1,949,459,359.72
  5. Step 5: Solve for x
    x = 1,949,459,359.72/50,582.68
  6. Step 6: Final answer
    x = 38,540.06

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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.