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Finding the Fourth Proportional to 43,284, 59,711.04 and 25,367.84

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Solution

The fourth proportional to 43,284, 59,711.04 and 25,367.84 is: 34,995.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,284 : 59,711.04 = 25,367.84 : x
  2. Step 2: Convert to fraction form
    43,284/59,711.04 = 25,367.84/x
  3. Step 3: Cross multiply
    43,284x = 59,711.04 × 25,367.84
  4. Step 4: Simplify right side
    43,284x = 1,514,740,108.95
  5. Step 5: Solve for x
    x = 1,514,740,108.95/43,284
  6. Step 6: Final answer
    x = 34,995.38

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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.