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Finding the Fourth Proportional to 50,673.08, 76,009.80 and 29,882

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Solution

The fourth proportional to 50,673.08, 76,009.80 and 29,882 is: 44,823.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,673.08 : 76,009.80 = 29,882 : x
  2. Step 2: Convert to fraction form
    50,673.08/76,009.80 = 29,882/x
  3. Step 3: Cross multiply
    50,673.08x = 76,009.80 × 29,882
  4. Step 4: Simplify right side
    50,673.08x = 2,271,324,843.60
  5. Step 5: Solve for x
    x = 2,271,324,843.60/50,673.08
  6. Step 6: Final answer
    x = 44,823.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.