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Finding the Fourth Proportional to 65,740, 90,722.64 and 35,932

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Solution

The fourth proportional to 65,740, 90,722.64 and 35,932 is: 49,586.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,740 : 90,722.64 = 35,932 : x
  2. Step 2: Convert to fraction form
    65,740/90,722.64 = 35,932/x
  3. Step 3: Cross multiply
    65,740x = 90,722.64 × 35,932
  4. Step 4: Simplify right side
    65,740x = 3,259,845,900.48
  5. Step 5: Solve for x
    x = 3,259,845,900.48/65,740
  6. Step 6: Final answer
    x = 49,586.95

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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.