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Finding the Fourth Proportional to 97,956.24, 146,892.24 and 31,374.24

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Solution

The fourth proportional to 97,956.24, 146,892.24 and 31,374.24 is: 47,047.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,956.24 : 146,892.24 = 31,374.24 : x
  2. Step 2: Convert to fraction form
    97,956.24/146,892.24 = 31,374.24/x
  3. Step 3: Cross multiply
    97,956.24x = 146,892.24 × 31,374.24
  4. Step 4: Simplify right side
    97,956.24x = 4,608,632,391.90
  5. Step 5: Solve for x
    x = 4,608,632,391.90/97,956.24
  6. Step 6: Final answer
    x = 47,047.87

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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.