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Finding the Fourth Proportional to 48,301.97, 66,682.98 and 29,185.16

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Solution

The fourth proportional to 48,301.97, 66,682.98 and 29,185.16 is: 40,291.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,301.97 : 66,682.98 = 29,185.16 : x
  2. Step 2: Convert to fraction form
    48,301.97/66,682.98 = 29,185.16/x
  3. Step 3: Cross multiply
    48,301.97x = 66,682.98 × 29,185.16
  4. Step 4: Simplify right side
    48,301.97x = 1,946,153,107.16
  5. Step 5: Solve for x
    x = 1,946,153,107.16/48,301.97
  6. Step 6: Final answer
    x = 40,291.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.