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Finding the Fourth Proportional to 51,793.26, 77,691.54 and 14,353.68

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Solution

The fourth proportional to 51,793.26, 77,691.54 and 14,353.68 is: 21,530.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,793.26 : 77,691.54 = 14,353.68 : x
  2. Step 2: Convert to fraction form
    51,793.26/77,691.54 = 14,353.68/x
  3. Step 3: Cross multiply
    51,793.26x = 77,691.54 × 14,353.68
  4. Step 4: Simplify right side
    51,793.26x = 1,115,159,503.87
  5. Step 5: Solve for x
    x = 1,115,159,503.87/51,793.26
  6. Step 6: Final answer
    x = 21,530.98

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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.