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Finding the Fourth Proportional to 65,769.32, 90,739.45 and 37,454.96

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Solution

The fourth proportional to 65,769.32, 90,739.45 and 37,454.96 is: 51,675.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,769.32 : 90,739.45 = 37,454.96 : x
  2. Step 2: Convert to fraction form
    65,769.32/90,739.45 = 37,454.96/x
  3. Step 3: Cross multiply
    65,769.32x = 90,739.45 × 37,454.96
  4. Step 4: Simplify right side
    65,769.32x = 3,398,642,470.17
  5. Step 5: Solve for x
    x = 3,398,642,470.17/65,769.32
  6. Step 6: Final answer
    x = 51,675.20

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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.