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Finding the Fourth Proportional to 52,500.34, 78,736.47 and 35,857.54

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Solution

The fourth proportional to 52,500.34, 78,736.47 and 35,857.54 is: 53,776.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,500.34 : 78,736.47 = 35,857.54 : x
  2. Step 2: Convert to fraction form
    52,500.34/78,736.47 = 35,857.54/x
  3. Step 3: Cross multiply
    52,500.34x = 78,736.47 × 35,857.54
  4. Step 4: Simplify right side
    52,500.34x = 2,823,296,122.48
  5. Step 5: Solve for x
    x = 2,823,296,122.48/52,500.34
  6. Step 6: Final answer
    x = 53,776.72

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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.