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Finding the Fourth Proportional to 96,839.86, 133,650.42 and 54,398.20

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Solution

The fourth proportional to 96,839.86, 133,650.42 and 54,398.20 is: 75,075.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,839.86 : 133,650.42 = 54,398.20 : x
  2. Step 2: Convert to fraction form
    96,839.86/133,650.42 = 54,398.20/x
  3. Step 3: Cross multiply
    96,839.86x = 133,650.42 × 54,398.20
  4. Step 4: Simplify right side
    96,839.86x = 7,270,342,277.24
  5. Step 5: Solve for x
    x = 7,270,342,277.24/96,839.86
  6. Step 6: Final answer
    x = 75,075.93

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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.