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Finding the Fourth Proportional to 40,813.66, 61,216.17 and 13,109.50

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Solution

The fourth proportional to 40,813.66, 61,216.17 and 13,109.50 is: 19,662.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,813.66 : 61,216.17 = 13,109.50 : x
  2. Step 2: Convert to fraction form
    40,813.66/61,216.17 = 13,109.50/x
  3. Step 3: Cross multiply
    40,813.66x = 61,216.17 × 13,109.50
  4. Step 4: Simplify right side
    40,813.66x = 802,513,380.62
  5. Step 5: Solve for x
    x = 802,513,380.62/40,813.66
  6. Step 6: Final answer
    x = 19,662.86

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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.