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Finding the Fourth Proportional to 72,305.41, 108,461.96 and 22,419.97

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Solution

The fourth proportional to 72,305.41, 108,461.96 and 22,419.97 is: 33,631.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,305.41 : 108,461.96 = 22,419.97 : x
  2. Step 2: Convert to fraction form
    72,305.41/108,461.96 = 22,419.97/x
  3. Step 3: Cross multiply
    72,305.41x = 108,461.96 × 22,419.97
  4. Step 4: Simplify right side
    72,305.41x = 2,431,713,889.34
  5. Step 5: Solve for x
    x = 2,431,713,889.34/72,305.41
  6. Step 6: Final answer
    x = 33,631.15

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Why These Related Problems?

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