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Finding the Fourth Proportional to 52,523.46, 72,509.14 and 40,559.94

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Solution

The fourth proportional to 52,523.46, 72,509.14 and 40,559.94 is: 55,993.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,523.46 : 72,509.14 = 40,559.94 : x
  2. Step 2: Convert to fraction form
    52,523.46/72,509.14 = 40,559.94/x
  3. Step 3: Cross multiply
    52,523.46x = 72,509.14 × 40,559.94
  4. Step 4: Simplify right side
    52,523.46x = 2,940,966,367.85
  5. Step 5: Solve for x
    x = 2,940,966,367.85/52,523.46
  6. Step 6: Final answer
    x = 55,993.39

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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.