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Finding the Fourth Proportional to 51,633.88, 77,453.70 and 14,695

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Solution

The fourth proportional to 51,633.88, 77,453.70 and 14,695 is: 22,043.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,633.88 : 77,453.70 = 14,695 : x
  2. Step 2: Convert to fraction form
    51,633.88/77,453.70 = 14,695/x
  3. Step 3: Cross multiply
    51,633.88x = 77,453.70 × 14,695
  4. Step 4: Simplify right side
    51,633.88x = 1,138,182,121.50
  5. Step 5: Solve for x
    x = 1,138,182,121.50/51,633.88
  6. Step 6: Final answer
    x = 22,043.32

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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.