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Finding the Fourth Proportional to 116,187.48, 174,287.70 and 33,075

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Solution

The fourth proportional to 116,187.48, 174,287.70 and 33,075 is: 49,614.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,187.48 : 174,287.70 = 33,075 : x
  2. Step 2: Convert to fraction form
    116,187.48/174,287.70 = 33,075/x
  3. Step 3: Cross multiply
    116,187.48x = 174,287.70 × 33,075
  4. Step 4: Simplify right side
    116,187.48x = 5,764,565,677.50
  5. Step 5: Solve for x
    x = 5,764,565,677.50/116,187.48
  6. Step 6: Final answer
    x = 49,614.34

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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.