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Finding the Fourth Proportional to 65,202.84, 97,810.34 and 27,247.46

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Solution

The fourth proportional to 65,202.84, 97,810.34 and 27,247.46 is: 40,873.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,202.84 : 97,810.34 = 27,247.46 : x
  2. Step 2: Convert to fraction form
    65,202.84/97,810.34 = 27,247.46/x
  3. Step 3: Cross multiply
    65,202.84x = 97,810.34 × 27,247.46
  4. Step 4: Simplify right side
    65,202.84x = 2,665,082,701.45
  5. Step 5: Solve for x
    x = 2,665,082,701.45/65,202.84
  6. Step 6: Final answer
    x = 40,873.72

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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.