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Finding the Fourth Proportional to 51,350, 77,037.98 and 14,414

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Solution

The fourth proportional to 51,350, 77,037.98 and 14,414 is: 21,624.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,350 : 77,037.98 = 14,414 : x
  2. Step 2: Convert to fraction form
    51,350/77,037.98 = 14,414/x
  3. Step 3: Cross multiply
    51,350x = 77,037.98 × 14,414
  4. Step 4: Simplify right side
    51,350x = 1,110,425,443.72
  5. Step 5: Solve for x
    x = 1,110,425,443.72/51,350
  6. Step 6: Final answer
    x = 21,624.64

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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.