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Finding the Fourth Proportional to 43,278, 59,723.82 and 23,406

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Solution

The fourth proportional to 43,278, 59,723.82 and 23,406 is: 32,300.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,278 : 59,723.82 = 23,406 : x
  2. Step 2: Convert to fraction form
    43,278/59,723.82 = 23,406/x
  3. Step 3: Cross multiply
    43,278x = 59,723.82 × 23,406
  4. Step 4: Simplify right side
    43,278x = 1,397,895,730.92
  5. Step 5: Solve for x
    x = 1,397,895,730.92/43,278
  6. Step 6: Final answer
    x = 32,300.38

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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.