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Finding the Fourth Proportional to 100,030.28, 149,982.04 and 50,096.84

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Solution

The fourth proportional to 100,030.28, 149,982.04 and 50,096.84 is: 75,113.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,030.28 : 149,982.04 = 50,096.84 : x
  2. Step 2: Convert to fraction form
    100,030.28/149,982.04 = 50,096.84/x
  3. Step 3: Cross multiply
    100,030.28x = 149,982.04 × 50,096.84
  4. Step 4: Simplify right side
    100,030.28x = 7,513,626,260.75
  5. Step 5: Solve for x
    x = 7,513,626,260.75/100,030.28
  6. Step 6: Final answer
    x = 75,113.52

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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.