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Finding the Fourth Proportional to 48,190, 66,543.24 and 30,314.92

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Solution

The fourth proportional to 48,190, 66,543.24 and 30,314.92 is: 41,860.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,190 : 66,543.24 = 30,314.92 : x
  2. Step 2: Convert to fraction form
    48,190/66,543.24 = 30,314.92/x
  3. Step 3: Cross multiply
    48,190x = 66,543.24 × 30,314.92
  4. Step 4: Simplify right side
    48,190x = 2,017,252,997.14
  5. Step 5: Solve for x
    x = 2,017,252,997.14/48,190
  6. Step 6: Final answer
    x = 41,860.41

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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.