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Finding the Fourth Proportional to 83,594.69, 125,295.47 and 38,521.80

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Solution

The fourth proportional to 83,594.69, 125,295.47 and 38,521.80 is: 57,738.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,594.69 : 125,295.47 = 38,521.80 : x
  2. Step 2: Convert to fraction form
    83,594.69/125,295.47 = 38,521.80/x
  3. Step 3: Cross multiply
    83,594.69x = 125,295.47 × 38,521.80
  4. Step 4: Simplify right side
    83,594.69x = 4,826,606,843.64
  5. Step 5: Solve for x
    x = 4,826,606,843.64/83,594.69
  6. Step 6: Final answer
    x = 57,738.20

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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.