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Finding the Fourth Proportional to 55,710.99, 76,873.05 and 31,833

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Solution

The fourth proportional to 55,710.99, 76,873.05 and 31,833 is: 43,924.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,710.99 : 76,873.05 = 31,833 : x
  2. Step 2: Convert to fraction form
    55,710.99/76,873.05 = 31,833/x
  3. Step 3: Cross multiply
    55,710.99x = 76,873.05 × 31,833
  4. Step 4: Simplify right side
    55,710.99x = 2,447,099,800.65
  5. Step 5: Solve for x
    x = 2,447,099,800.65/55,710.99
  6. Step 6: Final answer
    x = 43,924.90

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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.