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Finding the Fourth Proportional to 109,676.96, 164,489.88 and 30,798.80

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Solution

The fourth proportional to 109,676.96, 164,489.88 and 30,798.80 is: 46,191.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,676.96 : 164,489.88 = 30,798.80 : x
  2. Step 2: Convert to fraction form
    109,676.96/164,489.88 = 30,798.80/x
  3. Step 3: Cross multiply
    109,676.96x = 164,489.88 × 30,798.80
  4. Step 4: Simplify right side
    109,676.96x = 5,066,090,916.14
  5. Step 5: Solve for x
    x = 5,066,090,916.14/109,676.96
  6. Step 6: Final answer
    x = 46,191.02

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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.