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Finding the Fourth Proportional to 50,582.14, 75,888.24 and 22,498.31

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Solution

The fourth proportional to 50,582.14, 75,888.24 and 22,498.31 is: 33,754.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,582.14 : 75,888.24 = 22,498.31 : x
  2. Step 2: Convert to fraction form
    50,582.14/75,888.24 = 22,498.31/x
  3. Step 3: Cross multiply
    50,582.14x = 75,888.24 × 22,498.31
  4. Step 4: Simplify right side
    50,582.14x = 1,707,357,148.87
  5. Step 5: Solve for x
    x = 1,707,357,148.87/50,582.14
  6. Step 6: Final answer
    x = 33,754.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.