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Finding the Fourth Proportional to 65,259, 90,057.42 and 35,451

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Solution

The fourth proportional to 65,259, 90,057.42 and 35,451 is: 48,922.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,259 : 90,057.42 = 35,451 : x
  2. Step 2: Convert to fraction form
    65,259/90,057.42 = 35,451/x
  3. Step 3: Cross multiply
    65,259x = 90,057.42 × 35,451
  4. Step 4: Simplify right side
    65,259x = 3,192,625,596.42
  5. Step 5: Solve for x
    x = 3,192,625,596.42/65,259
  6. Step 6: Final answer
    x = 48,922.38

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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.