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Finding the Fourth Proportional to 65,694.35, 90,658.29 and 37,400

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Solution

The fourth proportional to 65,694.35, 90,658.29 and 37,400 is: 51,612.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,694.35 : 90,658.29 = 37,400 : x
  2. Step 2: Convert to fraction form
    65,694.35/90,658.29 = 37,400/x
  3. Step 3: Cross multiply
    65,694.35x = 90,658.29 × 37,400
  4. Step 4: Simplify right side
    65,694.35x = 3,390,620,046.00
  5. Step 5: Solve for x
    x = 3,390,620,046.00/65,694.35
  6. Step 6: Final answer
    x = 51,612.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.