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Finding the Fourth Proportional to 41,158, 56,800.47 and 23,252.55

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Solution

The fourth proportional to 41,158, 56,800.47 and 23,252.55 is: 32,089.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,158 : 56,800.47 = 23,252.55 : x
  2. Step 2: Convert to fraction form
    41,158/56,800.47 = 23,252.55/x
  3. Step 3: Cross multiply
    41,158x = 56,800.47 × 23,252.55
  4. Step 4: Simplify right side
    41,158x = 1,320,755,768.70
  5. Step 5: Solve for x
    x = 1,320,755,768.70/41,158
  6. Step 6: Final answer
    x = 32,089.89

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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.