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Finding the Fourth Proportional to 71,371.51, 98,506.46 and 41,176.33

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Solution

The fourth proportional to 71,371.51, 98,506.46 and 41,176.33 is: 56,831.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,371.51 : 98,506.46 = 41,176.33 : x
  2. Step 2: Convert to fraction form
    71,371.51/98,506.46 = 41,176.33/x
  3. Step 3: Cross multiply
    71,371.51x = 98,506.46 × 41,176.33
  4. Step 4: Simplify right side
    71,371.51x = 4,056,134,504.09
  5. Step 5: Solve for x
    x = 4,056,134,504.09/71,371.51
  6. Step 6: Final answer
    x = 56,831.28

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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.