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Finding the Fourth Proportional to 65,705.88, 90,642.41 and 43,034.90

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Solution

The fourth proportional to 65,705.88, 90,642.41 and 43,034.90 is: 59,367.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,705.88 : 90,642.41 = 43,034.90 : x
  2. Step 2: Convert to fraction form
    65,705.88/90,642.41 = 43,034.90/x
  3. Step 3: Cross multiply
    65,705.88x = 90,642.41 × 43,034.90
  4. Step 4: Simplify right side
    65,705.88x = 3,900,786,381.72
  5. Step 5: Solve for x
    x = 3,900,786,381.72/65,705.88
  6. Step 6: Final answer
    x = 59,367.39

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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.