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Finding the Fourth Proportional to 97,896.16, 146,862.62 and 31,318.41

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Solution

The fourth proportional to 97,896.16, 146,862.62 and 31,318.41 is: 46,983.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,896.16 : 146,862.62 = 31,318.41 : x
  2. Step 2: Convert to fraction form
    97,896.16/146,862.62 = 31,318.41/x
  3. Step 3: Cross multiply
    97,896.16x = 146,862.62 × 31,318.41
  4. Step 4: Simplify right side
    97,896.16x = 4,599,504,258.42
  5. Step 5: Solve for x
    x = 4,599,504,258.42/97,896.16
  6. Step 6: Final answer
    x = 46,983.50

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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.