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Finding the Fourth Proportional to 97,728.53, 146,623.91 and 43,684.92

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Solution

The fourth proportional to 97,728.53, 146,623.91 and 43,684.92 is: 65,541.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,728.53 : 146,623.91 = 43,684.92 : x
  2. Step 2: Convert to fraction form
    97,728.53/146,623.91 = 43,684.92/x
  3. Step 3: Cross multiply
    97,728.53x = 146,623.91 × 43,684.92
  4. Step 4: Simplify right side
    97,728.53x = 6,405,253,560.01
  5. Step 5: Solve for x
    x = 6,405,253,560.01/97,728.53
  6. Step 6: Final answer
    x = 65,541.29

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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.