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Finding the Fourth Proportional to 55,380.31, 76,425.63 and 31,506.47

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Solution

The fourth proportional to 55,380.31, 76,425.63 and 31,506.47 is: 43,479.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,380.31 : 76,425.63 = 31,506.47 : x
  2. Step 2: Convert to fraction form
    55,380.31/76,425.63 = 31,506.47/x
  3. Step 3: Cross multiply
    55,380.31x = 76,425.63 × 31,506.47
  4. Step 4: Simplify right side
    55,380.31x = 2,407,901,605.14
  5. Step 5: Solve for x
    x = 2,407,901,605.14/55,380.31
  6. Step 6: Final answer
    x = 43,479.38

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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.