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Finding the Fourth Proportional to 51,893.69, 77,840.61 and 14,453.87

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Solution

The fourth proportional to 51,893.69, 77,840.61 and 14,453.87 is: 21,680.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,893.69 : 77,840.61 = 14,453.87 : x
  2. Step 2: Convert to fraction form
    51,893.69/77,840.61 = 14,453.87/x
  3. Step 3: Cross multiply
    51,893.69x = 77,840.61 × 14,453.87
  4. Step 4: Simplify right side
    51,893.69x = 1,125,097,668.46
  5. Step 5: Solve for x
    x = 1,125,097,668.46/51,893.69
  6. Step 6: Final answer
    x = 21,680.82

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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.