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Finding the Fourth Proportional to 48,186, 66,423.78 and 41,435.46

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Solution

The fourth proportional to 48,186, 66,423.78 and 41,435.46 is: 57,118.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,186 : 66,423.78 = 41,435.46 : x
  2. Step 2: Convert to fraction form
    48,186/66,423.78 = 41,435.46/x
  3. Step 3: Cross multiply
    48,186x = 66,423.78 × 41,435.46
  4. Step 4: Simplify right side
    48,186x = 2,752,299,879.24
  5. Step 5: Solve for x
    x = 2,752,299,879.24/48,186
  6. Step 6: Final answer
    x = 57,118.25

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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.