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Finding the Fourth Proportional to 52,025.34, 71,794.94 and 28,152

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Solution

The fourth proportional to 52,025.34, 71,794.94 and 28,152 is: 38,849.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,025.34 : 71,794.94 = 28,152 : x
  2. Step 2: Convert to fraction form
    52,025.34/71,794.94 = 28,152/x
  3. Step 3: Cross multiply
    52,025.34x = 71,794.94 × 28,152
  4. Step 4: Simplify right side
    52,025.34x = 2,021,171,150.88
  5. Step 5: Solve for x
    x = 2,021,171,150.88/52,025.34
  6. Step 6: Final answer
    x = 38,849.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.