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Finding the Fourth Proportional to 51,788.64, 77,704.80 and 33,089.76

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Solution

The fourth proportional to 51,788.64, 77,704.80 and 33,089.76 is: 49,648.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,788.64 : 77,704.80 = 33,089.76 : x
  2. Step 2: Convert to fraction form
    51,788.64/77,704.80 = 33,089.76/x
  3. Step 3: Cross multiply
    51,788.64x = 77,704.80 × 33,089.76
  4. Step 4: Simplify right side
    51,788.64x = 2,571,233,182.85
  5. Step 5: Solve for x
    x = 2,571,233,182.85/51,788.64
  6. Step 6: Final answer
    x = 49,648.59

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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.