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Finding the Fourth Proportional to 98,051.67, 147,033.50 and 27,914.31

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Solution

The fourth proportional to 98,051.67, 147,033.50 and 27,914.31 is: 41,858.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,051.67 : 147,033.50 = 27,914.31 : x
  2. Step 2: Convert to fraction form
    98,051.67/147,033.50 = 27,914.31/x
  3. Step 3: Cross multiply
    98,051.67x = 147,033.50 × 27,914.31
  4. Step 4: Simplify right side
    98,051.67x = 4,104,338,559.81
  5. Step 5: Solve for x
    x = 4,104,338,559.81/98,051.67
  6. Step 6: Final answer
    x = 41,858.94

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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.