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Finding the Fourth Proportional to 52,101.50, 78,124.71 and 23,997.02

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Solution

The fourth proportional to 52,101.50, 78,124.71 and 23,997.02 is: 35,982.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,101.50 : 78,124.71 = 23,997.02 : x
  2. Step 2: Convert to fraction form
    52,101.50/78,124.71 = 23,997.02/x
  3. Step 3: Cross multiply
    52,101.50x = 78,124.71 × 23,997.02
  4. Step 4: Simplify right side
    52,101.50x = 1,874,760,228.36
  5. Step 5: Solve for x
    x = 1,874,760,228.36/52,101.50
  6. Step 6: Final answer
    x = 35,982.85

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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.