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Finding the Fourth Proportional to 30,437.64, 41,992.38 and 22,498.92

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Solution

The fourth proportional to 30,437.64, 41,992.38 and 22,498.92 is: 31,039.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,437.64 : 41,992.38 = 22,498.92 : x
  2. Step 2: Convert to fraction form
    30,437.64/41,992.38 = 22,498.92/x
  3. Step 3: Cross multiply
    30,437.64x = 41,992.38 × 22,498.92
  4. Step 4: Simplify right side
    30,437.64x = 944,783,198.23
  5. Step 5: Solve for x
    x = 944,783,198.23/30,437.64
  6. Step 6: Final answer
    x = 31,039.96

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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.