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Finding the Fourth Proportional to 52,406, 72,322.44 and 30,050

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Solution

The fourth proportional to 52,406, 72,322.44 and 30,050 is: 41,470.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,406 : 72,322.44 = 30,050 : x
  2. Step 2: Convert to fraction form
    52,406/72,322.44 = 30,050/x
  3. Step 3: Cross multiply
    52,406x = 72,322.44 × 30,050
  4. Step 4: Simplify right side
    52,406x = 2,173,289,322
  5. Step 5: Solve for x
    x = 2,173,289,322/52,406
  6. Step 6: Final answer
    x = 41,470.24

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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.