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Finding the Fourth Proportional to 43,362, 65,042.98 and 12,197.24

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Solution

The fourth proportional to 43,362, 65,042.98 and 12,197.24 is: 18,295.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,362 : 65,042.98 = 12,197.24 : x
  2. Step 2: Convert to fraction form
    43,362/65,042.98 = 12,197.24/x
  3. Step 3: Cross multiply
    43,362x = 65,042.98 × 12,197.24
  4. Step 4: Simplify right side
    43,362x = 793,344,837.38
  5. Step 5: Solve for x
    x = 793,344,837.38/43,362
  6. Step 6: Final answer
    x = 18,295.85

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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.