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Finding the Fourth Proportional to 108,289.86, 162,450.06 and 33,416.10

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Solution

The fourth proportional to 108,289.86, 162,450.06 and 33,416.10 is: 50,128.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,289.86 : 162,450.06 = 33,416.10 : x
  2. Step 2: Convert to fraction form
    108,289.86/162,450.06 = 33,416.10/x
  3. Step 3: Cross multiply
    108,289.86x = 162,450.06 × 33,416.10
  4. Step 4: Simplify right side
    108,289.86x = 5,428,447,449.97
  5. Step 5: Solve for x
    x = 5,428,447,449.97/108,289.86
  6. Step 6: Final answer
    x = 50,128.86

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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.