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Finding the Fourth Proportional to 65,210.73, 97,768.23 and 20,811.88

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Solution

The fourth proportional to 65,210.73, 97,768.23 and 20,811.88 is: 31,202.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,210.73 : 97,768.23 = 20,811.88 : x
  2. Step 2: Convert to fraction form
    65,210.73/97,768.23 = 20,811.88/x
  3. Step 3: Cross multiply
    65,210.73x = 97,768.23 × 20,811.88
  4. Step 4: Simplify right side
    65,210.73x = 2,034,740,670.57
  5. Step 5: Solve for x
    x = 2,034,740,670.57/65,210.73
  6. Step 6: Final answer
    x = 31,202.54

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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.