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Finding the Fourth Proportional to 52,575.72, 78,879.78 and 18,384.96

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Solution

The fourth proportional to 52,575.72, 78,879.78 and 18,384.96 is: 27,583.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,575.72 : 78,879.78 = 18,384.96 : x
  2. Step 2: Convert to fraction form
    52,575.72/78,879.78 = 18,384.96/x
  3. Step 3: Cross multiply
    52,575.72x = 78,879.78 × 18,384.96
  4. Step 4: Simplify right side
    52,575.72x = 1,450,201,600.11
  5. Step 5: Solve for x
    x = 1,450,201,600.11/52,575.72
  6. Step 6: Final answer
    x = 27,583.10

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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.