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Finding the Fourth Proportional to 116,284, 174,427.68 and 33,178

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Solution

The fourth proportional to 116,284, 174,427.68 and 33,178 is: 49,767.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,284 : 174,427.68 = 33,178 : x
  2. Step 2: Convert to fraction form
    116,284/174,427.68 = 33,178/x
  3. Step 3: Cross multiply
    116,284x = 174,427.68 × 33,178
  4. Step 4: Simplify right side
    116,284x = 5,787,161,567.04
  5. Step 5: Solve for x
    x = 5,787,161,567.04/116,284
  6. Step 6: Final answer
    x = 49,767.48

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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.