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Finding the Fourth Proportional to 84,329.76, 126,494.40 and 25,164

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Solution

The fourth proportional to 84,329.76, 126,494.40 and 25,164 is: 37,745.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,329.76 : 126,494.40 = 25,164 : x
  2. Step 2: Convert to fraction form
    84,329.76/126,494.40 = 25,164/x
  3. Step 3: Cross multiply
    84,329.76x = 126,494.40 × 25,164
  4. Step 4: Simplify right side
    84,329.76x = 3,183,105,081.60
  5. Step 5: Solve for x
    x = 3,183,105,081.60/84,329.76
  6. Step 6: Final answer
    x = 37,745.93

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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.