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Finding the Fourth Proportional to 65,005.14, 97,467 and 25,516.42

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Solution

The fourth proportional to 65,005.14, 97,467 and 25,516.42 is: 38,258.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,005.14 : 97,467 = 25,516.42 : x
  2. Step 2: Convert to fraction form
    65,005.14/97,467 = 25,516.42/x
  3. Step 3: Cross multiply
    65,005.14x = 97,467 × 25,516.42
  4. Step 4: Simplify right side
    65,005.14x = 2,487,008,908.14
  5. Step 5: Solve for x
    x = 2,487,008,908.14/65,005.14
  6. Step 6: Final answer
    x = 38,258.65

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