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Finding the Fourth Proportional to 30,514.92, 42,111.27 and 21,578.46

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Solution

The fourth proportional to 30,514.92, 42,111.27 and 21,578.46 is: 29,778.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,514.92 : 42,111.27 = 21,578.46 : x
  2. Step 2: Convert to fraction form
    30,514.92/42,111.27 = 21,578.46/x
  3. Step 3: Cross multiply
    30,514.92x = 42,111.27 × 21,578.46
  4. Step 4: Simplify right side
    30,514.92x = 908,696,355.24
  5. Step 5: Solve for x
    x = 908,696,355.24/30,514.92
  6. Step 6: Final answer
    x = 29,778.76

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