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Finding the Fourth Proportional to 65,757.83, 90,751.34 and 40,264.07

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Solution

The fourth proportional to 65,757.83, 90,751.34 and 40,264.07 is: 55,567.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,757.83 : 90,751.34 = 40,264.07 : x
  2. Step 2: Convert to fraction form
    65,757.83/90,751.34 = 40,264.07/x
  3. Step 3: Cross multiply
    65,757.83x = 90,751.34 × 40,264.07
  4. Step 4: Simplify right side
    65,757.83x = 3,654,018,105.03
  5. Step 5: Solve for x
    x = 3,654,018,105.03/65,757.83
  6. Step 6: Final answer
    x = 55,567.80

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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.