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Finding the Fourth Proportional to 52,498, 72,447.24 and 33,646.06

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Solution

The fourth proportional to 52,498, 72,447.24 and 33,646.06 is: 46,431.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,498 : 72,447.24 = 33,646.06 : x
  2. Step 2: Convert to fraction form
    52,498/72,447.24 = 33,646.06/x
  3. Step 3: Cross multiply
    52,498x = 72,447.24 × 33,646.06
  4. Step 4: Simplify right side
    52,498x = 2,437,564,183.87
  5. Step 5: Solve for x
    x = 2,437,564,183.87/52,498
  6. Step 6: Final answer
    x = 46,431.56

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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.