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Finding the Fourth Proportional to 51,652.80, 77,405.40 and 29,419.20

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Solution

The fourth proportional to 51,652.80, 77,405.40 and 29,419.20 is: 44,086.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,652.80 : 77,405.40 = 29,419.20 : x
  2. Step 2: Convert to fraction form
    51,652.80/77,405.40 = 29,419.20/x
  3. Step 3: Cross multiply
    51,652.80x = 77,405.40 × 29,419.20
  4. Step 4: Simplify right side
    51,652.80x = 2,277,204,943.68
  5. Step 5: Solve for x
    x = 2,277,204,943.68/51,652.80
  6. Step 6: Final answer
    x = 44,086.77

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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.