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Finding the Fourth Proportional to 55,732.38, 76,909.66 and 31,533.09

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Solution

The fourth proportional to 55,732.38, 76,909.66 and 31,533.09 is: 43,515.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,732.38 : 76,909.66 = 31,533.09 : x
  2. Step 2: Convert to fraction form
    55,732.38/76,909.66 = 31,533.09/x
  3. Step 3: Cross multiply
    55,732.38x = 76,909.66 × 31,533.09
  4. Step 4: Simplify right side
    55,732.38x = 2,425,199,230.65
  5. Step 5: Solve for x
    x = 2,425,199,230.65/55,732.38
  6. Step 6: Final answer
    x = 43,515.08

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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.