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Finding the Fourth Proportional to 96,509.72, 144,729 and 33,313.76

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Solution

The fourth proportional to 96,509.72, 144,729 and 33,313.76 is: 49,958.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,509.72 : 144,729 = 33,313.76 : x
  2. Step 2: Convert to fraction form
    96,509.72/144,729 = 33,313.76/x
  3. Step 3: Cross multiply
    96,509.72x = 144,729 × 33,313.76
  4. Step 4: Simplify right side
    96,509.72x = 4,821,467,171.04
  5. Step 5: Solve for x
    x = 4,821,467,171.04/96,509.72
  6. Step 6: Final answer
    x = 49,958.36

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1.5x scale

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.