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Finding the Fourth Proportional to 65,716.80, 90,689.09 and 37,422.50

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Solution

The fourth proportional to 65,716.80, 90,689.09 and 37,422.50 is: 51,642.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,716.80 : 90,689.09 = 37,422.50 : x
  2. Step 2: Convert to fraction form
    65,716.80/90,689.09 = 37,422.50/x
  3. Step 3: Cross multiply
    65,716.80x = 90,689.09 × 37,422.50
  4. Step 4: Simplify right side
    65,716.80x = 3,393,811,829.97
  5. Step 5: Solve for x
    x = 3,393,811,829.97/65,716.80
  6. Step 6: Final answer
    x = 51,642.99

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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.