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Finding the Fourth Proportional to 52,076.25, 78,118.02 and 20,911.50

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Solution

The fourth proportional to 52,076.25, 78,118.02 and 20,911.50 is: 31,368.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,076.25 : 78,118.02 = 20,911.50 : x
  2. Step 2: Convert to fraction form
    52,076.25/78,118.02 = 20,911.50/x
  3. Step 3: Cross multiply
    52,076.25x = 78,118.02 × 20,911.50
  4. Step 4: Simplify right side
    52,076.25x = 1,633,564,975.23
  5. Step 5: Solve for x
    x = 1,633,564,975.23/52,076.25
  6. Step 6: Final answer
    x = 31,368.71

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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.