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Finding the Fourth Proportional to 51,848.88, 77,770.86 and 14,408.70

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Solution

The fourth proportional to 51,848.88, 77,770.86 and 14,408.70 is: 21,612.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,848.88 : 77,770.86 = 14,408.70 : x
  2. Step 2: Convert to fraction form
    51,848.88/77,770.86 = 14,408.70/x
  3. Step 3: Cross multiply
    51,848.88x = 77,770.86 × 14,408.70
  4. Step 4: Simplify right side
    51,848.88x = 1,120,576,990.48
  5. Step 5: Solve for x
    x = 1,120,576,990.48/51,848.88
  6. Step 6: Final answer
    x = 21,612.37

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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.