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Finding the Fourth Proportional to 65,233.40, 97,850.10 and 54,865.40

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Solution

The fourth proportional to 65,233.40, 97,850.10 and 54,865.40 is: 82,298.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,233.40 : 97,850.10 = 54,865.40 : x
  2. Step 2: Convert to fraction form
    65,233.40/97,850.10 = 54,865.40/x
  3. Step 3: Cross multiply
    65,233.40x = 97,850.10 × 54,865.40
  4. Step 4: Simplify right side
    65,233.40x = 5,368,584,876.54
  5. Step 5: Solve for x
    x = 5,368,584,876.54/65,233.40
  6. Step 6: Final answer
    x = 82,298.10

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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.