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Finding the Fourth Proportional to 41,171.94, 61,763.64 and 13,089

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Solution

The fourth proportional to 41,171.94, 61,763.64 and 13,089 is: 19,635.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,171.94 : 61,763.64 = 13,089 : x
  2. Step 2: Convert to fraction form
    41,171.94/61,763.64 = 13,089/x
  3. Step 3: Cross multiply
    41,171.94x = 61,763.64 × 13,089
  4. Step 4: Simplify right side
    41,171.94x = 808,424,283.96
  5. Step 5: Solve for x
    x = 808,424,283.96/41,171.94
  6. Step 6: Final answer
    x = 19,635.32

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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.