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Finding the Fourth Proportional to 116,513, 174,798.66 and 33,407

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Solution

The fourth proportional to 116,513, 174,798.66 and 33,407 is: 50,118.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,513 : 174,798.66 = 33,407 : x
  2. Step 2: Convert to fraction form
    116,513/174,798.66 = 33,407/x
  3. Step 3: Cross multiply
    116,513x = 174,798.66 × 33,407
  4. Step 4: Simplify right side
    116,513x = 5,839,498,834.62
  5. Step 5: Solve for x
    x = 5,839,498,834.62/116,513
  6. Step 6: Final answer
    x = 50,118.86

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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.