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Finding the Fourth Proportional to 49,323.14, 73,910.69 and 29,580

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Solution

The fourth proportional to 49,323.14, 73,910.69 and 29,580 is: 44,325.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,323.14 : 73,910.69 = 29,580 : x
  2. Step 2: Convert to fraction form
    49,323.14/73,910.69 = 29,580/x
  3. Step 3: Cross multiply
    49,323.14x = 73,910.69 × 29,580
  4. Step 4: Simplify right side
    49,323.14x = 2,186,278,210.20
  5. Step 5: Solve for x
    x = 2,186,278,210.20/49,323.14
  6. Step 6: Final answer
    x = 44,325.61

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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.