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Finding the Fourth Proportional to 77,786.83, 116,679.48 and 35,654.95

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Solution

The fourth proportional to 77,786.83, 116,679.48 and 35,654.95 is: 53,482.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,786.83 : 116,679.48 = 35,654.95 : x
  2. Step 2: Convert to fraction form
    77,786.83/116,679.48 = 35,654.95/x
  3. Step 3: Cross multiply
    77,786.83x = 116,679.48 × 35,654.95
  4. Step 4: Simplify right side
    77,786.83x = 4,160,201,025.43
  5. Step 5: Solve for x
    x = 4,160,201,025.43/77,786.83
  6. Step 6: Final answer
    x = 53,482.07

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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.