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Finding the Fourth Proportional to 100,430.28, 150,650.42 and 32,956.34

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Solution

The fourth proportional to 100,430.28, 150,650.42 and 32,956.34 is: 49,436.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,430.28 : 150,650.42 = 32,956.34 : x
  2. Step 2: Convert to fraction form
    100,430.28/150,650.42 = 32,956.34/x
  3. Step 3: Cross multiply
    100,430.28x = 150,650.42 × 32,956.34
  4. Step 4: Simplify right side
    100,430.28x = 4,964,885,544.63
  5. Step 5: Solve for x
    x = 4,964,885,544.63/100,430.28
  6. Step 6: Final answer
    x = 49,436.14

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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.