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Finding the Fourth Proportional to 96,538.92, 133,218.24 and 56,259.24

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Solution

The fourth proportional to 96,538.92, 133,218.24 and 56,259.24 is: 77,634.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,538.92 : 133,218.24 = 56,259.24 : x
  2. Step 2: Convert to fraction form
    96,538.92/133,218.24 = 56,259.24/x
  3. Step 3: Cross multiply
    96,538.92x = 133,218.24 × 56,259.24
  4. Step 4: Simplify right side
    96,538.92x = 7,494,756,936.54
  5. Step 5: Solve for x
    x = 7,494,756,936.54/96,538.92
  6. Step 6: Final answer
    x = 77,634.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.