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Finding the Fourth Proportional to 108,470.74, 162,711.90 and 33,642.58

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Solution

The fourth proportional to 108,470.74, 162,711.90 and 33,642.58 is: 50,465.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,470.74 : 162,711.90 = 33,642.58 : x
  2. Step 2: Convert to fraction form
    108,470.74/162,711.90 = 33,642.58/x
  3. Step 3: Cross multiply
    108,470.74x = 162,711.90 × 33,642.58
  4. Step 4: Simplify right side
    108,470.74x = 5,474,048,112.70
  5. Step 5: Solve for x
    x = 5,474,048,112.70/108,470.74
  6. Step 6: Final answer
    x = 50,465.67

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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.