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Finding the Fourth Proportional to 33,429, 50,166.54 and 11,541

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Solution

The fourth proportional to 33,429, 50,166.54 and 11,541 is: 17,319.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,429 : 50,166.54 = 11,541 : x
  2. Step 2: Convert to fraction form
    33,429/50,166.54 = 11,541/x
  3. Step 3: Cross multiply
    33,429x = 50,166.54 × 11,541
  4. Step 4: Simplify right side
    33,429x = 578,972,038.14
  5. Step 5: Solve for x
    x = 578,972,038.14/33,429
  6. Step 6: Final answer
    x = 17,319.45

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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.