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Finding the Fourth Proportional to 30,447.16, 41,938.94 and 21,478.92

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Solution

The fourth proportional to 30,447.16, 41,938.94 and 21,478.92 is: 29,585.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,447.16 : 41,938.94 = 21,478.92 : x
  2. Step 2: Convert to fraction form
    30,447.16/41,938.94 = 21,478.92/x
  3. Step 3: Cross multiply
    30,447.16x = 41,938.94 × 21,478.92
  4. Step 4: Simplify right side
    30,447.16x = 900,803,137.14
  5. Step 5: Solve for x
    x = 900,803,137.14/30,447.16
  6. Step 6: Final answer
    x = 29,585.79

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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.