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Finding the Fourth Proportional to 65,200.90, 97,806.75 and 20,833.96

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Solution

The fourth proportional to 65,200.90, 97,806.75 and 20,833.96 is: 31,252.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,200.90 : 97,806.75 = 20,833.96 : x
  2. Step 2: Convert to fraction form
    65,200.90/97,806.75 = 20,833.96/x
  3. Step 3: Cross multiply
    65,200.90x = 97,806.75 × 20,833.96
  4. Step 4: Simplify right side
    65,200.90x = 2,037,701,917.23
  5. Step 5: Solve for x
    x = 2,037,701,917.23/65,200.90
  6. Step 6: Final answer
    x = 31,252.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.