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Finding the Fourth Proportional to 41,512, 62,268.54 and 13,810

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Solution

The fourth proportional to 41,512, 62,268.54 and 13,810 is: 20,715.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,512 : 62,268.54 = 13,810 : x
  2. Step 2: Convert to fraction form
    41,512/62,268.54 = 13,810/x
  3. Step 3: Cross multiply
    41,512x = 62,268.54 × 13,810
  4. Step 4: Simplify right side
    41,512x = 859,928,537.40
  5. Step 5: Solve for x
    x = 859,928,537.40/41,512
  6. Step 6: Final answer
    x = 20,715.18

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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.