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Finding the Fourth Proportional to 116,289, 174,435.18 and 33,183

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Solution

The fourth proportional to 116,289, 174,435.18 and 33,183 is: 49,774.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,289 : 174,435.18 = 33,183 : x
  2. Step 2: Convert to fraction form
    116,289/174,435.18 = 33,183/x
  3. Step 3: Cross multiply
    116,289x = 174,435.18 × 33,183
  4. Step 4: Simplify right side
    116,289x = 5,788,282,577.94
  5. Step 5: Solve for x
    x = 5,788,282,577.94/116,289
  6. Step 6: Final answer
    x = 49,774.98

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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.