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Finding the Fourth Proportional to 116,290.75, 174,437.75 and 33,184.75

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Solution

The fourth proportional to 116,290.75, 174,437.75 and 33,184.75 is: 49,777.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,290.75 : 174,437.75 = 33,184.75 : x
  2. Step 2: Convert to fraction form
    116,290.75/174,437.75 = 33,184.75/x
  3. Step 3: Cross multiply
    116,290.75x = 174,437.75 × 33,184.75
  4. Step 4: Simplify right side
    116,290.75x = 5,788,673,124.31
  5. Step 5: Solve for x
    x = 5,788,673,124.31/116,290.75
  6. Step 6: Final answer
    x = 49,777.59

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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.