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Finding the Fourth Proportional to 65,262, 97,914.96 and 27,820.56

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Solution

The fourth proportional to 65,262, 97,914.96 and 27,820.56 is: 41,740.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,262 : 97,914.96 = 27,820.56 : x
  2. Step 2: Convert to fraction form
    65,262/97,914.96 = 27,820.56/x
  3. Step 3: Cross multiply
    65,262x = 97,914.96 × 27,820.56
  4. Step 4: Simplify right side
    65,262x = 2,724,049,019.58
  5. Step 5: Solve for x
    x = 2,724,049,019.58/65,262
  6. Step 6: Final answer
    x = 41,740.20

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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.