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Finding the Fourth Proportional to 55,731.27, 76,909.16 and 31,858.48

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Solution

The fourth proportional to 55,731.27, 76,909.16 and 31,858.48 is: 43,964.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,731.27 : 76,909.16 = 31,858.48 : x
  2. Step 2: Convert to fraction form
    55,731.27/76,909.16 = 31,858.48/x
  3. Step 3: Cross multiply
    55,731.27x = 76,909.16 × 31,858.48
  4. Step 4: Simplify right side
    55,731.27x = 2,450,208,776.38
  5. Step 5: Solve for x
    x = 2,450,208,776.38/55,731.27
  6. Step 6: Final answer
    x = 43,964.70

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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.