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Finding the Fourth Proportional to 52,682.94, 79,024.32 and 24,593.58

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Solution

The fourth proportional to 52,682.94, 79,024.32 and 24,593.58 is: 36,890.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,682.94 : 79,024.32 = 24,593.58 : x
  2. Step 2: Convert to fraction form
    52,682.94/79,024.32 = 24,593.58/x
  3. Step 3: Cross multiply
    52,682.94x = 79,024.32 × 24,593.58
  4. Step 4: Simplify right side
    52,682.94x = 1,943,490,935.87
  5. Step 5: Solve for x
    x = 1,943,490,935.87/52,682.94
  6. Step 6: Final answer
    x = 36,890.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.