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Finding the Fourth Proportional to 52,277, 78,428.82 and 15,341

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Solution

The fourth proportional to 52,277, 78,428.82 and 15,341 is: 23,015.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,277 : 78,428.82 = 15,341 : x
  2. Step 2: Convert to fraction form
    52,277/78,428.82 = 15,341/x
  3. Step 3: Cross multiply
    52,277x = 78,428.82 × 15,341
  4. Step 4: Simplify right side
    52,277x = 1,203,176,527.62
  5. Step 5: Solve for x
    x = 1,203,176,527.62/52,277
  6. Step 6: Final answer
    x = 23,015.41

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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.