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Finding the Fourth Proportional to 41,297.41, 61,950.20 and 13,210.41

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Solution

The fourth proportional to 41,297.41, 61,950.20 and 13,210.41 is: 19,816.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,297.41 : 61,950.20 = 13,210.41 : x
  2. Step 2: Convert to fraction form
    41,297.41/61,950.20 = 13,210.41/x
  3. Step 3: Cross multiply
    41,297.41x = 61,950.20 × 13,210.41
  4. Step 4: Simplify right side
    41,297.41x = 818,387,475.53
  5. Step 5: Solve for x
    x = 818,387,475.53/41,297.41
  6. Step 6: Final answer
    x = 19,816.92

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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.