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Finding the Fourth Proportional to 51,671.36, 77,507.46 and 14,233.50

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Solution

The fourth proportional to 51,671.36, 77,507.46 and 14,233.50 is: 21,350.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,671.36 : 77,507.46 = 14,233.50 : x
  2. Step 2: Convert to fraction form
    51,671.36/77,507.46 = 14,233.50/x
  3. Step 3: Cross multiply
    51,671.36x = 77,507.46 × 14,233.50
  4. Step 4: Simplify right side
    51,671.36x = 1,103,202,431.91
  5. Step 5: Solve for x
    x = 1,103,202,431.91/51,671.36
  6. Step 6: Final answer
    x = 21,350.37

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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.