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Finding the Fourth Proportional to 65,729.81, 90,707.15 and 37,438.13

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Solution

The fourth proportional to 65,729.81, 90,707.15 and 37,438.13 is: 51,664.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,729.81 : 90,707.15 = 37,438.13 : x
  2. Step 2: Convert to fraction form
    65,729.81/90,707.15 = 37,438.13/x
  3. Step 3: Cross multiply
    65,729.81x = 90,707.15 × 37,438.13
  4. Step 4: Simplify right side
    65,729.81x = 3,395,906,393.99
  5. Step 5: Solve for x
    x = 3,395,906,393.99/65,729.81
  6. Step 6: Final answer
    x = 51,664.63

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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.