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Finding the Fourth Proportional to 52,518, 72,477.72 and 30,163.44

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Solution

The fourth proportional to 52,518, 72,477.72 and 30,163.44 is: 41,627.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,518 : 72,477.72 = 30,163.44 : x
  2. Step 2: Convert to fraction form
    52,518/72,477.72 = 30,163.44/x
  3. Step 3: Cross multiply
    52,518x = 72,477.72 × 30,163.44
  4. Step 4: Simplify right side
    52,518x = 2,186,177,358.56
  5. Step 5: Solve for x
    x = 2,186,177,358.56/52,518
  6. Step 6: Final answer
    x = 41,627.20

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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.