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Finding the Fourth Proportional to 52,508, 78,765.94 and 15,067.76

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Solution

The fourth proportional to 52,508, 78,765.94 and 15,067.76 is: 22,602.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,508 : 78,765.94 = 15,067.76 : x
  2. Step 2: Convert to fraction form
    52,508/78,765.94 = 15,067.76/x
  3. Step 3: Cross multiply
    52,508x = 78,765.94 × 15,067.76
  4. Step 4: Simplify right side
    52,508x = 1,186,826,280.09
  5. Step 5: Solve for x
    x = 1,186,826,280.09/52,508
  6. Step 6: Final answer
    x = 22,602.77

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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.