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Finding the Fourth Proportional to 65,258.87, 97,927.18 and 23,709.11

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Solution

The fourth proportional to 65,258.87, 97,927.18 and 23,709.11 is: 35,577.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,258.87 : 97,927.18 = 23,709.11 : x
  2. Step 2: Convert to fraction form
    65,258.87/97,927.18 = 23,709.11/x
  3. Step 3: Cross multiply
    65,258.87x = 97,927.18 × 23,709.11
  4. Step 4: Simplify right side
    65,258.87x = 2,321,765,733.70
  5. Step 5: Solve for x
    x = 2,321,765,733.70/65,258.87
  6. Step 6: Final answer
    x = 35,577.78

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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.