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Finding the Fourth Proportional to 52,408.46, 72,322.10 and 29,124.82

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Solution

The fourth proportional to 52,408.46, 72,322.10 and 29,124.82 is: 40,191.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,408.46 : 72,322.10 = 29,124.82 : x
  2. Step 2: Convert to fraction form
    52,408.46/72,322.10 = 29,124.82/x
  3. Step 3: Cross multiply
    52,408.46x = 72,322.10 × 29,124.82
  4. Step 4: Simplify right side
    52,408.46x = 2,106,368,198.52
  5. Step 5: Solve for x
    x = 2,106,368,198.52/52,408.46
  6. Step 6: Final answer
    x = 40,191.38

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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.