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Finding the Fourth Proportional to 41,305, 61,957.52 and 13,605.16

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Solution

The fourth proportional to 41,305, 61,957.52 and 13,605.16 is: 20,407.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,305 : 61,957.52 = 13,605.16 : x
  2. Step 2: Convert to fraction form
    41,305/61,957.52 = 13,605.16/x
  3. Step 3: Cross multiply
    41,305x = 61,957.52 × 13,605.16
  4. Step 4: Simplify right side
    41,305x = 842,941,972.80
  5. Step 5: Solve for x
    x = 842,941,972.80/41,305
  6. Step 6: Final answer
    x = 20,407.75

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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.