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Finding the Fourth Proportional to 65,729.91, 90,707.28 and 37,438.23

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Solution

The fourth proportional to 65,729.91, 90,707.28 and 37,438.23 is: 51,664.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,729.91 : 90,707.28 = 37,438.23 : x
  2. Step 2: Convert to fraction form
    65,729.91/90,707.28 = 37,438.23/x
  3. Step 3: Cross multiply
    65,729.91x = 90,707.28 × 37,438.23
  4. Step 4: Simplify right side
    65,729.91x = 3,395,920,011.31
  5. Step 5: Solve for x
    x = 3,395,920,011.31/65,729.91
  6. Step 6: Final answer
    x = 51,664.76

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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.