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Finding the Fourth Proportional to 50,204.04, 75,259.98 and 17,349

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Solution

The fourth proportional to 50,204.04, 75,259.98 and 17,349 is: 26,007.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,204.04 : 75,259.98 = 17,349 : x
  2. Step 2: Convert to fraction form
    50,204.04/75,259.98 = 17,349/x
  3. Step 3: Cross multiply
    50,204.04x = 75,259.98 × 17,349
  4. Step 4: Simplify right side
    50,204.04x = 1,305,685,393.02
  5. Step 5: Solve for x
    x = 1,305,685,393.02/50,204.04
  6. Step 6: Final answer
    x = 26,007.58

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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.