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Finding the Fourth Proportional to 41,596, 62,394.48 and 12,014.16

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Solution

The fourth proportional to 41,596, 62,394.48 and 12,014.16 is: 18,021.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,596 : 62,394.48 = 12,014.16 : x
  2. Step 2: Convert to fraction form
    41,596/62,394.48 = 12,014.16/x
  3. Step 3: Cross multiply
    41,596x = 62,394.48 × 12,014.16
  4. Step 4: Simplify right side
    41,596x = 749,617,265.84
  5. Step 5: Solve for x
    x = 749,617,265.84/41,596
  6. Step 6: Final answer
    x = 18,021.38

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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.