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Finding the Fourth Proportional to 83,332.69, 125,014.61 and 33,416.70

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Solution

The fourth proportional to 83,332.69, 125,014.61 and 33,416.70 is: 50,131.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,332.69 : 125,014.61 = 33,416.70 : x
  2. Step 2: Convert to fraction form
    83,332.69/125,014.61 = 33,416.70/x
  3. Step 3: Cross multiply
    83,332.69x = 125,014.61 × 33,416.70
  4. Step 4: Simplify right side
    83,332.69x = 4,177,575,144.76
  5. Step 5: Solve for x
    x = 4,177,575,144.76/83,332.69
  6. Step 6: Final answer
    x = 50,131.29

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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.