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Finding the Fourth Proportional to 76,490.33, 114,740.55 and 20,329.65

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Solution

The fourth proportional to 76,490.33, 114,740.55 and 20,329.65 is: 30,495.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,490.33 : 114,740.55 = 20,329.65 : x
  2. Step 2: Convert to fraction form
    76,490.33/114,740.55 = 20,329.65/x
  3. Step 3: Cross multiply
    76,490.33x = 114,740.55 × 20,329.65
  4. Step 4: Simplify right side
    76,490.33x = 2,332,635,222.31
  5. Step 5: Solve for x
    x = 2,332,635,222.31/76,490.33
  6. Step 6: Final answer
    x = 30,495.82

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