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Finding the Fourth Proportional to 65,282.34, 90,096.86 and 38,431.46

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Solution

The fourth proportional to 65,282.34, 90,096.86 and 38,431.46 is: 53,039.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,282.34 : 90,096.86 = 38,431.46 : x
  2. Step 2: Convert to fraction form
    65,282.34/90,096.86 = 38,431.46/x
  3. Step 3: Cross multiply
    65,282.34x = 90,096.86 × 38,431.46
  4. Step 4: Simplify right side
    65,282.34x = 3,462,553,871.22
  5. Step 5: Solve for x
    x = 3,462,553,871.22/65,282.34
  6. Step 6: Final answer
    x = 53,039.67

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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.