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Finding the Fourth Proportional to 55,421.64, 76,484.52 and 31,231.08

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Solution

The fourth proportional to 55,421.64, 76,484.52 and 31,231.08 is: 43,100.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,421.64 : 76,484.52 = 31,231.08 : x
  2. Step 2: Convert to fraction form
    55,421.64/76,484.52 = 31,231.08/x
  3. Step 3: Cross multiply
    55,421.64x = 76,484.52 × 31,231.08
  4. Step 4: Simplify right side
    55,421.64x = 2,388,694,162.88
  5. Step 5: Solve for x
    x = 2,388,694,162.88/55,421.64
  6. Step 6: Final answer
    x = 43,100.39

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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.