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Finding the Fourth Proportional to 41,605.48, 62,395.26 and 13,897

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Solution

The fourth proportional to 41,605.48, 62,395.26 and 13,897 is: 20,841.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,605.48 : 62,395.26 = 13,897 : x
  2. Step 2: Convert to fraction form
    41,605.48/62,395.26 = 13,897/x
  3. Step 3: Cross multiply
    41,605.48x = 62,395.26 × 13,897
  4. Step 4: Simplify right side
    41,605.48x = 867,106,928.22
  5. Step 5: Solve for x
    x = 867,106,928.22/41,605.48
  6. Step 6: Final answer
    x = 20,841.17

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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.