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Finding the Fourth Proportional to 55,278.88, 76,286.64 and 31,405.12

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Solution

The fourth proportional to 55,278.88, 76,286.64 and 31,405.12 is: 43,340.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,278.88 : 76,286.64 = 31,405.12 : x
  2. Step 2: Convert to fraction form
    55,278.88/76,286.64 = 31,405.12/x
  3. Step 3: Cross multiply
    55,278.88x = 76,286.64 × 31,405.12
  4. Step 4: Simplify right side
    55,278.88x = 2,395,791,083.60
  5. Step 5: Solve for x
    x = 2,395,791,083.60/55,278.88
  6. Step 6: Final answer
    x = 43,340.08

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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.