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Finding the Fourth Proportional to 51,597.28, 77,408.82 and 14,661.28

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Solution

The fourth proportional to 51,597.28, 77,408.82 and 14,661.28 is: 21,995.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,597.28 : 77,408.82 = 14,661.28 : x
  2. Step 2: Convert to fraction form
    51,597.28/77,408.82 = 14,661.28/x
  3. Step 3: Cross multiply
    51,597.28x = 77,408.82 × 14,661.28
  4. Step 4: Simplify right side
    51,597.28x = 1,134,912,384.49
  5. Step 5: Solve for x
    x = 1,134,912,384.49/51,597.28
  6. Step 6: Final answer
    x = 21,995.59

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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.