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Finding the Fourth Proportional to 55,598.69, 76,723.25 and 31,727.58

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Solution

The fourth proportional to 55,598.69, 76,723.25 and 31,727.58 is: 43,782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,598.69 : 76,723.25 = 31,727.58 : x
  2. Step 2: Convert to fraction form
    55,598.69/76,723.25 = 31,727.58/x
  3. Step 3: Cross multiply
    55,598.69x = 76,723.25 × 31,727.58
  4. Step 4: Simplify right side
    55,598.69x = 2,434,242,893.60
  5. Step 5: Solve for x
    x = 2,434,242,893.60/55,598.69
  6. Step 6: Final answer
    x = 43,782.38

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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.