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Finding the Fourth Proportional to 83,594.44, 125,392.38 and 21,265

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Solution

The fourth proportional to 83,594.44, 125,392.38 and 21,265 is: 31,897.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,594.44 : 125,392.38 = 21,265 : x
  2. Step 2: Convert to fraction form
    83,594.44/125,392.38 = 21,265/x
  3. Step 3: Cross multiply
    83,594.44x = 125,392.38 × 21,265
  4. Step 4: Simplify right side
    83,594.44x = 2,666,468,960.70
  5. Step 5: Solve for x
    x = 2,666,468,960.70/83,594.44
  6. Step 6: Final answer
    x = 31,897.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.