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Finding the Fourth Proportional to 65,386.23, 90,232.16 and 38,529.87

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Solution

The fourth proportional to 65,386.23, 90,232.16 and 38,529.87 is: 53,170.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,386.23 : 90,232.16 = 38,529.87 : x
  2. Step 2: Convert to fraction form
    65,386.23/90,232.16 = 38,529.87/x
  3. Step 3: Cross multiply
    65,386.23x = 90,232.16 × 38,529.87
  4. Step 4: Simplify right side
    65,386.23x = 3,476,633,201.97
  5. Step 5: Solve for x
    x = 3,476,633,201.97/65,386.23
  6. Step 6: Final answer
    x = 53,170.72

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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.