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Finding the Fourth Proportional to 29,950.86, 41,332.38 and 16,522.50

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Solution

The fourth proportional to 29,950.86, 41,332.38 and 16,522.50 is: 22,801.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,950.86 : 41,332.38 = 16,522.50 : x
  2. Step 2: Convert to fraction form
    29,950.86/41,332.38 = 16,522.50/x
  3. Step 3: Cross multiply
    29,950.86x = 41,332.38 × 16,522.50
  4. Step 4: Simplify right side
    29,950.86x = 682,914,248.55
  5. Step 5: Solve for x
    x = 682,914,248.55/29,950.86
  6. Step 6: Final answer
    x = 22,801.16

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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.