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Finding the Fourth Proportional to 101,032.20, 151,509.78 and 33,551.64

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Solution

The fourth proportional to 101,032.20, 151,509.78 and 33,551.64 is: 50,314.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,032.20 : 151,509.78 = 33,551.64 : x
  2. Step 2: Convert to fraction form
    101,032.20/151,509.78 = 33,551.64/x
  3. Step 3: Cross multiply
    101,032.20x = 151,509.78 × 33,551.64
  4. Step 4: Simplify right side
    101,032.20x = 5,083,401,595.04
  5. Step 5: Solve for x
    x = 5,083,401,595.04/101,032.20
  6. Step 6: Final answer
    x = 50,314.67

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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.