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Finding the Fourth Proportional to 77,884.91, 116,930.90 and 52,669.14

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Solution

The fourth proportional to 77,884.91, 116,930.90 and 52,669.14 is: 79,073.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,884.91 : 116,930.90 = 52,669.14 : x
  2. Step 2: Convert to fraction form
    77,884.91/116,930.90 = 52,669.14/x
  3. Step 3: Cross multiply
    77,884.91x = 116,930.90 × 52,669.14
  4. Step 4: Simplify right side
    77,884.91x = 6,158,649,679.08
  5. Step 5: Solve for x
    x = 6,158,649,679.08/77,884.91
  6. Step 6: Final answer
    x = 79,073.73

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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.