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Finding the Fourth Proportional to 55,662.66, 76,818.38 and 31,463.80

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Solution

The fourth proportional to 55,662.66, 76,818.38 and 31,463.80 is: 43,422.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,662.66 : 76,818.38 = 31,463.80 : x
  2. Step 2: Convert to fraction form
    55,662.66/76,818.38 = 31,463.80/x
  3. Step 3: Cross multiply
    55,662.66x = 76,818.38 × 31,463.80
  4. Step 4: Simplify right side
    55,662.66x = 2,416,997,795.28
  5. Step 5: Solve for x
    x = 2,416,997,795.28/55,662.66
  6. Step 6: Final answer
    x = 43,422.25

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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.