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Finding the Fourth Proportional to 98,878.82, 148,318.14 and 39,714.50

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Solution

The fourth proportional to 98,878.82, 148,318.14 and 39,714.50 is: 59,571.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,878.82 : 148,318.14 = 39,714.50 : x
  2. Step 2: Convert to fraction form
    98,878.82/148,318.14 = 39,714.50/x
  3. Step 3: Cross multiply
    98,878.82x = 148,318.14 × 39,714.50
  4. Step 4: Simplify right side
    98,878.82x = 5,890,380,771.03
  5. Step 5: Solve for x
    x = 5,890,380,771.03/98,878.82
  6. Step 6: Final answer
    x = 59,571.71

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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.